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2022 Research 14

900_Changelog

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Day Planners 6

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MOCs 3

Projects 26

Quick_Notes 102

Seminars and Talks 3

To Review 50

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2-category

2021-04-23 Advice on research and problems

2022-09-10

2022-09-14

2022-11-06 Griffiths Harris Surface Notes

A hat genus

A1 Homotopy

ADE classification

ADE singularities

AKLB setup

A_infty

Aatiyah-Singer Index Theorem

Abel-Jacobi map

Adams resolution

Adeles

Alexander duality

Algebraic Topology

Algebraic Variety

Analysis MOC

Andre-Oort conjecture

Andrew Blumberg, Floer homotopy theory and Morava K-theory

Arakelov

Arpon Raksit - Hochschild homology and the derived de Rham complex revisited

Arthur's conjecture

Artin L function

Artin approximation

Artin map

Artin stack

Artin symbol

Artin-Rees theorem

Artin-Schreier

Artinian algebra

Artinian category

Atiyah Hirzebruch spectral sequence

Atiyah bundle

Azumaya algebra

BGG resolution

BV algebra

BV quantization

B_dr

Baratt-Priddy-Quillen

Barr-Beck

Barratt-Priddy-Quillen

Berkovich spaces

Bertini's theorem

Betti moduli

Beuzart-Plessis, On the spectral decomposition of the Jacquet-Rallis trace formula and the Gan-Gross-Prasad conjecture for unitary groups

Bezout's theorem

Bhatt-Lurie

Birch and Swinnerton-Dyer conjecture

Blakers Massey

Blakers Massey theorem

Bockstein

Bordism spectra

Borel

Borel regulator

Bott Periodicity

Bousfield localization

Brauer group

Brauer-Manin obstruction

Bredon cohomology

Brill-Noether theorem

Brown-Peterson spectra

BunG

Burnside ring (algebraic geometry)

Burnside ring (homotopy theory)

Course

CM

CM field

CSM class

CW approximation

CW complex

CY metric

Calabi-Yau

Calabi-Yau fourfold

Calabi-Yau manifold

Calabi-Yau object of a category

Cartesian closed category

Casson invariant

Castelnuevo's criterion

Cauchy completion

Cayley-Hamilon theorem for modules

Cech cohomology

Chebotarev density

Chern class

Chern-Ruan theory

Chern-Simons

Chern-Simons invariant

Chevalley-Eilenberg complex

Chow ring

Chow's theorem

Classical homological algebra

Clifford algebra

Cohen-Lenstra

Cohen-Macaulay

Cohomology of BSO

Cohomology of loop spaces of spheres

Constructing stacks

Contact

Contact Project Draft 2

Contact project

Coxeter fan

Coxeter group

Cremona transformation

D modules

DG category

DGA

DVR

Day convolution

Dedekind domain

Dedekind zeta function

Dedekind-Kummer theorem

Deformation space

Dehn invariant

Deligne-Mumford stack

Dessin d'enfant

Dieudonne module

differential geometry

Dirac equation

Dirichlet's theorem

Dirichlet's theorem on primes in arithmetic progressions

Dirichlet's unit theorem

Dolbeaut cohomology

Dold-Kan correspondence

Donaldson-Thomas invariants

Drinfeld center

Drinfeld module

Dwyer-Kan equivalence

Dynkin diagrams

E6

E7

E8 lattice

EHP sequence

E_n ring spectrum

Eilenberg-MacLane spaces

Eilenberg-Mazur swindle

Einstein equations

Eisenstein polynomial

Eisenstein series

Elliptic cohomology

Enriques surface

Enriques-Kodaira Classification

Euler class

Euler exact sequence

Euler sequence

Exercises in complex AG

F1

F4

FJRW theory

Faltings theorem

Fano variety

Fermat quartic

Fermat's Last Theorem

Finset

Floer homotopy

Fontaine-Mazur conjecture

Formal group

Fourier-Mukai

Fredholm operator

Freudenthal suspension

Frobenius kernel

Frobenius morphism

Frobenius twist

Fuchsian group

Fukaya category

Fundamental SESs in algebraic geometry

Fundamental SESs in commutative algebra

G theory

G2

GAGA

GIT quotient

GLSM

GRH

GUE

Galois cohomology

Galois correspondence

Galois descent

Galois representations

Galois spectra

Galois theory

Gamma function

Gauss' lemma

Gauss-Manin

Gelfand duality

Gelfand representation

General relativity

Geometric Topology (Subject MOC)

Geometrization

Gerstenhaber bracket

Giroux correspondence

Goldfeld conjecture

Goodwillie calculus

Gorenstein

Grassmannian

Gromov compactness

Gromov-Witten invariants

Grothendieck category

Grothendieck monodromy theorem

Grothendieck-Riemann-Roch

Gysin sequence

H-space

THH

HKR

HOTT

Haar measure

Hamiltonian

Hard Lefschetz

Harvard Real Analysis HW and Solutions

Hasse bound

Hasse bounds

Hasse invariant

Hasse principle

Hasse-Weil L function

Hasse-Weil Zeta

Hausdorff measure

Haydys-Witten

Hecke stack

Heegard-Floer homology

Hensel's Lemma

Hermite-Minkowski

Hermitian K theory

Hessian

Higgs bundle

Hilbert 12

Hilbert 21

Hilbert 90

Hilbert Basis Theorem

Hilbert class field

Hilbert scheme

Hilbert series

Hilbert symbol

Hill-Hopkins-Ravenel

Hirzebruch-Riemann-Roch

Hitchin moduli space

Hochster's Direct Summand Conjecture

Hodge F-crystal

Hodge decomposition

Hodge diamonds

Hodge filtration

Hodge index theorem

Hodge polygon

Hodge star

Hodge theory

Hodge-Tate conjecture

Hodge-Tate representation

Hodge-Tate theory

Hodge-to-deRham degeneration

Holonomy Classification

Homological Algebra Talk

Homological Stability Course Notes

Homotopy of schemes

Hopf algebra

Hopf fibration

Hopf invariant one

Hurewicz

Hurwitz space

Hurwitz theorem

IC

Ideles

Ind construction

Ind objects

Infinite loop space

Infinity category talk

Integration along the fiber

Introduction to infinity categories

Iwasawa decomposition

Iwasawa theory

J-homomorphism

Jacobi theta

Jacobian

Jacobian conjecture

K theory in AG

K-Theory

K3 surface

K3 Surfaces

Kahler

Kahler problem

Kan complex

Kan extension

Kapustin-Witten

Kazhdan Lusztig conjecture

Kervaire invariant one

Killing form

Kloosterman sums

Topics

Kodaira vanishing

Kodaira-Parshin

Kodaira-Parshin trick

Kodaira-Spencer

Kronecker symbol

Kronecker-Weber theorem

Krull dimension

Krull's intersection theorem

Krull's principal ideal theorem

Krull's theorem

Kummer sequence

Kummer theory

Kuranishi spaces

L function

L infty algebra

Lagrangian

Lagrangian Floer homology

Landweber exactness

Langlands

Laplace-Beltrami operator

Lawrence-Venkatesh

Lazard ring

Learning Goals 2021

Learning Resources: Algebraic Topology

Learning Resources: Number Theory

Learning Resources: Symplectic Topology/Geometry

Lefschetz 1-1 theorem

Lefschetz fibration

Lefschetz fixed point theorem

Lefschetz hyperplane theorem

Lefschetz motive

Lefschetz principle

Leray spectral sequence

Lichtenbaum-Quillen conjectures

Lie algeberoid

Lie algebra

Lie algebra types

Lie algebra valued form

Lie algebroid

Lie group

Liouville manifold

Liouville vector field

List of open conjectures in AG

Log geometry

Looijenga's conjecture

Lubin-Tate theory

Luna etale slice theorem

Luna's slice theorem

Mackey functor

Madsen-Tillmann spectrum

Manifolds Definitions

Mapping cylinder

Maschke's theorem

Masterclass in Condensed Mathematics

Math Reading List

Mathematician interviews

Maurer-Cartan

May recognition principle

Mazur Program B

McKay correspondence

Milnor Conjecture

Milnor K theory

Milnor fibration

Minkowski bound

Mirzakhani

Mock AMS 2020 Pictures

Model category theory

Moore spaces

Moore spectrum

Morava E theory

Morava K theory

Mordell-Lang conjecture

Mordell-Weil

Mordell-Weil rank

Mori cone

Mori fiber space

Morita equivalence

Morse Theory

Morse homology

Morse lemma

Mostow rigidity

Nakayama's lemma

Neron Severi

Neron-Tate height

Nishida's Theorem

Nisnevich topology

Noether Normalization

Noetherian

Noetherian induction

Noetherian scheme

Notes - The cotangent complex and derived de Rham cohomology

Novikov ring

Number theory

Nygaard filtration

O(D) for D a divisor

O_X and divisors

O_X module

Obstruction theory in homotopy

Open Problems

Oxford course codes

P=W conjecture

PBW basis

Paper Reading List

Papers to Read

Pell equation

Physics

Picard Lefchetz theory

Picard group

Picard-Fuchs

Pin group

Plucker embedding

Poincare Lemma

Poincare bundle

Poincare conjectures

Poincare homology sphere

Poincare series

Poisson structure

Poisson summation

Pontrayagin class

Pontrayagin-Thom

Pontryagin dual

Principal series representations

Prismatic Cohomology Notes

Proj

Project Ideas

Project Queue

Projects

QCoh(B) is equivalent to Rep(G)

Quantum Homology Theories

Quick Notes

Quillen K Theory

Quillen adjunction

Quillen equivalence

Quillen minimal model program

RAPC

Ramanujan-Petersson conjecture

Rankin-Selberg convolution

Reading Group_Fargues Fontaine Curve

Reading Seminar Infty Cats Draft 1

Reading notes - Singular Points on Complex Hypersurfaces

Rees construction

Rep

representation theory

Representing cohomology

Ricci curvature

Ricci flow

Ricci-flat

Riemann Hypothesis

Riemann Zeta

Riemann surface

Riemann zeta function

Riemann-Hilbert correspondence

Riemann-Roch

Riemannian curvature

Riemannian geometry

Rohklin's theorem

Rokhlin theorem

SH

SL2

SO3

SU2

SYZ torus fibration

Sample Tasks

Sard-Smale

Satake isomorphism

Sato-Tate conjecture

Schoenflies conjecture

Schubert

Schur's Lemma

Schwartz space

Segal spaces

Seiberg-Witten theory

Seifert manifold

Selmer group

Serre class

Serre duality

Serre fibration

Serre functor

Serre spectral sequence

Serre's conjecture on vector bundles

Serre's criterion

Serre-Swan

Serre-Tate theory

Shimura variety

Shimura-Taniyama-Weil

Siegel modular forms

Simpson correspondence

Skolem-Noether theorem

Spanier-Whitehead duality

Stable Homotopy Seminar

The Adams Spectral Sequence

Steenrod algebra

Stein

Stephen Hawking

Stiefel manifold

Stiefel-Whitney class

Stieltjes integral

Stokes theorem

Stone-Cech compactification

Strong approximation

Subjects 1

Superstring theory

THH

TQFT

Talbot Talk 1

Talbot Talk 2

Talbot Talk Outline 1

Talks

Tamagawa numbers

Tannaka-Krein duality

Tannakian

Tate module

Tate-Shafarevich group

Test Home

Thom form

Thom space

Three Things Exercise

Three-manifolds MOC

Todd genus

Topological cyclic homology

Torelli

Tsen's theorem

Twisted K theory

Type A

Type B

Type C

Type D

Universal family

Untitled

Tuesday, January 1

VHS

Vafa-Witten

Archimedean place

Vandiver's conjecture

Videos

Videos

Waldhausen S construction

Waldhausen manifold

Wang sequence

Weak approximation

Weierstrass p function

Weil Conjectures

Weil cohomology

Weil divisor

Weil group

Weil reciprocity

Weil restriction

Weil zeta function

Weinstein

Weyl algebra

Weyl complete reducibility

Weyl group

Weyl vector

When are spheres Lie groups

Whitehead's theorem

Whitehead torsion

Whiteney embedding theorem

Whitney trick

Whitney umbrella

Why study K theory

Witt's lemma

Yang-Mills

Yoneda lemma

Zariski Descent

Zariski tangent space

Zariski's lemma

Zariski's main theorem

Zariski's theorem

Zhiwei Yun project group

a stack is a category fibered in groupoids

abelian category

abelian scheme

abelian variety

absolute Galois group

absolute value

accessible functor

accidental isomorphisms

action

adelic group

adic completion

adjoint

adjoint functor theorem

adjoint representation

adjunction formula

admissible representation

advice on talks

affine Grassmannian

algebra over a ring

algebraic curve

Algebraic de Rham cohomology

algebraic group

algebraic space

almost all

almost complex structure

almost mathematics

almost purity

alpha invariant

alteration

very ample divisor

ample cone

anabelian

analytic class number formula

animated rings

anti self dual

anticanonical pair

antiholomorphic involution

applications of Weil conjectures

arithmetic Chow

arithmetic Frobenius

arithmetic and 3-manifolds

arithmetic cohomology

arithmetic genus

arithmetic geometry

arithmetic intersection theory

arithmetic progressions

aspherical space

assembly

associahedra

associated bundle

automorphic L function

automorphic form

automorphic representation

automorphisms necessitate stacks

bar construction

base change

basic tools in homotopy of spaces

Topics

belong

bicategory

big

birational

bisimplicial set

blowup

bordered Heegaard Floer homology

brane

bubbling

canonical bundle

canonical divisor

canonical isomorphism

cartesian fibration

categorification

category O

cellular approximation

cellular map

central fiber

central simple algebra

chamber

character lattice

character variety

characteristic class

characters

charge

chromatic homotopy theory

class field theory

class group

classical category theory

classifying space

classifying stack

closed immersion

clutching function

coalgebra

coarse moduli space

cobordism

cobordism hypothesis

cobordism spectrum

cocompact

cocomplete

cocone

coend

coequalizer

cofiber sequence

cofinal functor

cogroup

coherent module

coherent sheaves

cohomological criterion for ampleness

cohomological dimension

cohomological field theory

cohomology of infinite complex projective space

cohomology of lens spaces

cohomology of unitary groups

cohomology operations

cohomology rings as coalgebras

cohomology theory

cohomology with compact support

cohomolology theory

cohomotopy

coinvariants

colimit

combinatorial model category

comes from geometry

compact object of a category

compact-open topology

compactly generated space

compactly supported cohomology for quotient stacks

complete

complex K theory

complex algebraic geometry

complex bordism

complex oriented cohomology theory

computational properties of Chow

computational properties of K theory

computations of canonicals

computations of divisor class groups

computations of picard groups

condensed set

conductor

cone category

cone multiplicity

configuration space

congruence subgroup

congruent number problem

connected ring

connection

connectivitty

conormal exact sequence

conormal sequence

conservative functor

constructible functions

constructible sheaf

constructing BU_n

continuous group cohomology

contraction

contract

coproduct

correspondences

cosheaf

cosmos

cotangent complex

covariant derivative

covering

covering space

covolume

crystalline Frobenius

crystalline cohomology

crystalline conjecture

crystalline representation

crystalline site

cubic surfaces

curvature

curvature form

curves

cusp form

cyclotomic character

de Rham conjecture

de Rham crystalline comparison

de Rham isomorphism

de Rham moduli

de Rham-Witt

deformation

deformation quantization

deformation theory

deformation theory is controlled by dg Lie algebras

deformation to the normal cone

degeneration

degree of a closed point

degree of a morphism

degree of a projective variety

del Pezzo

delta function

density

depth

derivation

derived algebraic geometry

derived category

derived de Rham cohomology

derived lci

derived ring

derived scheme

derived stack

derived stacks

descent

descent category

determinant of an operator

determinental variety

devissage

dg Lie algebras

dg manifold

diagonal morphism

different

differential forms

dilogarithm

dimension

dimension shifting

direct image

disambiguating completion and localization

disambiguating products and coproducts

discrete log problem

discriminant

distributions

divisor

divisor class group

dominant morphism

dominant weight

dualizable objects in a category

dualizable object of a category

dualizing sheaf

dynamics

efd theorem

effective descent

elliptic complex

elliptic curve over a scheme

elliptic genera

elliptic operator

For curves

endomorpism algebras

enriched category

enumerative geometry

equivalence of categories

equivariant

equivariant K theory

equivariant cochains

equivariant cohomology

equivariant functor

equivariant homotopy group

equivariant homotopy theory

equivariant sheaves

equivariant stable homotopy theory

ergodic

etale

etale comparison theorem

etale descent

etale fundamental group

etale morphism

evaluation maps

exact symplectic manifolds

exact triangle

example computations of Brauer groups

example computations of Steenrod operations

example computations of divisor class groups

example of class group computations

examples of Chern classes

examples of Chow rings

examples of K theory rings

examples of Picard group computations

examples of THH computation

examples of classifying spaces

examples of cohomology rings

examples of computations of Hodge numbers

examples of computations of etale cohomology

examples of computing Hodge diamonds

examples of derived categories

examples of etale fundamental groups

examples of fans

examples of homotopy groups

examples of homotopy groups of spectra

examples of spectral sequences

examples of toric varieties

examples of varieties

examples of zeta function computations

excellent

exceptional collection

exercises in toric geometry

exponential exact sequence

extended Dynkin diagrams

factorial

factorization algebra

factorization homology

faithful functor

faithfully flat

families

fiber of a vector bundle over a scheme

fiber product

fibrant and cofibrant objects

fibration

field norm

filtered module

filtered spectra

fine sheaf

finite spectrum

finite type

finitely generated

finitely presented

fitting ideal

flag variety

flat bundle

flat connection

flat family

flat morphism

flop

flow

flow categories

foliate

formal cohomology

formal disk

formal spectrum

formally etale

formally smooth

formally unramified

4-manifolds

fourier transform

fppf

fpqc

fractional ideal

fracture theorem

frame bundle

framed

framed bordism

free cocompletion

from geometry

full monodromy

fully dualizable

function field

functor of points

fundamental class

fundamental group

fundamental representation

fundamental unit

fundamental weights

galois morphism

gauge theory

general position

general type

genus-degree formula

geodesics

geometric Langlands

geometric fiber

geometric realization

geometric satake

geometrically connected

gerbe

gimbal lock

global Torelli

global dimension

Global field

The Going Down Theorem

going up theorem

gonality

good reduction

graded mixed algebra

group actions on categories

group algebra

group cohomology

group completion

group object

group scheme

groupoid

h-cobordism

handle decomposition

height

henselization

herbrand quotient

higher Chow groups

higher category

higher classifying spaces for topological groups

highest weight

hodge bundle

holonomy

holonomy group

homogeneous space

homological mirror symmetry

homological stability

homology of a point as a coefficient ring

homology sphere

homotopy

homotopy category

homotopy coherence

homotopy equivalent manifolds are cobordant

homotopy fiber

homotopy fixed points

homotopy groups

homotopy groups of Lie groups

homotopy groups of spheres

homotopy limit

homotopy sum

homotopy theory

homotopy type

hyper-descent

hyperbolic 3-manifold

hyperbolic curve

hyperbolic surface

hypercohomology

hypercovering

hyperdescent

hyperellptic

hypersurface

ideal correspondence for localizations

ideal sheaf

idemptotent-complete category

ind-smooth

induction

infinity categories

infinity groupoids

infty topos

instanton

integrable system

integral scheme

integrally closed

intermediate Jacobian

internal category

interpolation

intersection cohomology

intersection form

intersection product (between a divisor and curve)

intersection theory

invariant theory

inverse Galois problem

inverse image

invertible module

invertible object of a category

invertible polynomial

invertible sheaves

irreducible

irreducible divisor

isocrystal

isomonodromic deformation

j invariant

kahler identities

klt

koszul duality

l-adic cohomology

l-adic representations

l-adic sheaves

lambda connection

laplacian

laplacian flow

lattice

lax

lax functor

lefschetz pencil

left invariant vector field

length of a module

level structure

limit

line bundle

linear category

linear system

linearly equivalent divisors

lisse-etale

examples of fibrations

local complete intersection

local objects in a category

local on the base

local spectra

local system

local theta correspondence

local to global

localization (category theory)

localization

locally closed

locally free sheaf

locally quasi-finite

log differential forms

log discrepancy

log resolution

loop space

loop stack

lying over theorem

manifold with corners

mapping class group

mapping cone

mapping telescope

martingale

math_quotes

maximal abelian extension

maximal tori

maximal unramified extension

metric

metric tensor

microlocal

minimal model program

minimal surface

mirror quintic

Mirror Symmetry

mixed characteristic

mixed motive

mixed motives

model of a scheme

modern category theory

modern developments

modular curve

modular form

modules are like sheaves

modules over a category

modules over an algebra

moduli of formal group laws

moduli of shtukas

moduli space

moduli space of connections

moduli stack of elliptic curves

moment map

monad

monodromy conjecture

monodromy representation

monoid

monoid object

monoidal category

monomorphism

monopole Floer homology

monopole homotopy type

most curves

motivation for spectral sequences

motivation for stacks

motive

motivic L function

motivic cohomology

motivic homotopy

motivic integration

motivic zeta function

moving lemma

multiplicative group

multiplicative spectral sequence

nearby cycle functor

nef divisor

nerve

nilpotent completion

nodal curve

nonabelian Hodge correspondence

nonabelian Poincare duality

nonabelian class field theory

nonabelian derived functor

nonarchimedean

noncommutative algebraic geometry

norm group

normal

normal bundle

normal field extension

normal scheme

Normalization

norms in equivariant homotopy

number field

number field function field analogy

numerical equivalence

numerically equivalent

o-minimality

Obstruction Theory

obstruction-deformation theory

one parameter family

open book decomposition

open image

open immersion

open immersion of schemes

open subscheme

operad

orbifold

orbifold fundamental group

order

orientable

orientations of moduli spaces

orthogonal group

orthogonal spectra

p-adic integers

p-adic Hodge theory

p-adic formal schemes

p-adic monodromy theorem

p-adic zeta function

p-curvature

parabolic bundle

parahoric

parallelizable spheres

perfect complexes

perfect field

perfect ring

perfectoid

period

period ring

Motivation

periodic sphere spectrum

perverse sheaf

perverse t-structure

phantom maps

plectic conjecture

plumbing

poincare category

pointed category

polarization

polyfolds

polytope

positive root

potentially semistable

potentially semistable conjecture

pregeometry

presentable category

presentation of a category

prestack

primary

prime avoidance lemma

prime ideal

principal bundle

principal divisor

prismatic cohomology

profinite completion

profinite group

profinite integers

projective

projective

projective object

projectivization

proper base change

proper morphism

properties of morphisms

property vs structure

pseudofunctor

pseudoholomorphic curve

psi class

pure Hodge structure

pure motive

pure of weight

purity theorem

pushforward

Examples

q series

q-analog

quadratic form

quadratic reciprocity

quadratic space

quaiseparated

quantization

quantum cohomology

quasi-smooth

quasi-unipotent

quasicategory

quasicoherent sheaf

quasicompact

quaternion algebra

quotient stack

ramification divisor

ramification index

random matrix

rational homotopy

rational points

ray class field

reciprocity conjecture

recollements

reduced

reduced cohomology

reduction mod p

reduction of structure group

reflexive pair

regular decomposition

regular ring

regular scheme

regular sequence

Regulator of a number field

relative dimension

relative spec

representation ring

representation sphere

representation stack

resolution of singularities

riemannian manifold

rigid category

rigid cohomology

rigid geometry

rigidity

ring of integers

ring spectra

root system

roots of unity

s-cobordism

saturated

scalar curvature

scheme

scheme definitions

schemes are functors

second category

secondary polytope

section conjecture

self intersection

semiabelian variety

semilinear action

semilocal ring

semisimple algebra

semistability

semistable

semistable comparison theorem

semistable conjecture

semistable degeneration

semistable morphism

semistable reduction

separable

separable extension

separably closed

separably generated

separated

sheaf

sheaf associated to a module

sheaf category

sheaf cohomology

shifted symmetric functions

showing an analytic function is rational

showing an equivalence of derived categories

signature

simple normal crossings

simple objects of a category

simplicial algebra

simplicial category

simplicial complex

simplicial set

singular support

site

six functor formalism

skeleta

slc

smash product

smooth algebra

smooth category

smooth points

smooth scheme

smooth structure

smooth structures

socle

solid mathematics

songruence subgroups

spacetime

span

spec Z as a curve

special fiber

special values of L functions

specialization

spectra

spectra are modules over the sphere spectrum

spectral Brauer group

spectral algebraic geometry

spectral category

spectral sequence

spectral sequence of a double complex

spectral sequence of a tower

spectral space

spectrum objects in an infinity category

sphere and disc objects in chain complexes

spherical harmonic

spherical manifold

spherically complete

spin

split torus

splitting principle

sporadic point

stable curve

stable del Pezzo pair

stable homotopy

stable homotopy group of spheres 1

stable homotopy groups of spheres

stable infinity category

stable map

stable pair

stable reduction theorem

stackification

stacks MOC

standard model

star subdivision

stochastic PDE

stratified

strict normal crossings divisor

string theory

stringy topology

stringy invariants

strong factorization

strongly convex cone

structure group

structure sheaf

structured ring spectrum

subcanonical

subschemes are zero sections

summaries

superalgebra

supersingular

surface bundle

surgery

symbol

symmetric monoidal infty category

symmetric space

symmetric spectra

symplectic

symplectic group

symplectic quotient

syntomic

talk note index

tame inertia

tamely ramified

tangent bundle

tangent complex

tangent cone

tangent sheaf

tate conjecture

tate duality

tautological bundle

tempered

tensor category

tensor triangulated category

tensored

the category of motives

the numerical criterion

theorem of the square

theta divisor

theta function

thick subcategory

thickening

tilting

tilting sheaf

tmf

topological K theory

topological category

topological groupoid

topological stack

topos

tor amplitude

tori

toric

toric variety

toroidal compactifications

torsion of a connection

torsor

trace (monoidal categories)

trace map

trace pairing

transfers

transverse

triangulated categories

triangulated category

tropical geometry

twist

twisted arrow category

twisted cubic

twisted differential operator

twisting sheaves

type III degeneration

uniformization

unimodular

unit group

unitary trick

universal coefficient theorem

universal enveloping algebra

universally closed

universally closed morphism

unlikely intersection

unramified

unramified morphism

unstable homotopy groups of spheres

valuation ring

valuative criterion of completeness

valuative criterion of properness

valuative criterion of separatedness

vanishing cycles

vector bundles

vertex algebra

vertical and horizontal subspace

very general

virtual fundamental class

virtual index

vortex equation

wall-crossing

weak and hard Lefschetz theorems

weak equivalence

weak homotopy equivalence

weight filtration

weight lattice

weighted colimit

weighted point count

weighted projective space

weighted stable rational curve

weyl character formula

whiskering

wreath product

Zotnotes 53

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