
- CMI SUMMER SCHOOL NOTES ON p-ADIC HODGE THEORY (PRELIMINARY VERSION)
- FINITE GROUP SCHEMES OVER BASES WITH LOW RAMIFICATION BRIAN CONRAD
- Warning these notes were written for AV's personal use and have not been checked in any way whatsoever, nor have they been edited for
- A MODERN PROOF OF CHEVALLEY'S THEOREM ON ALGEBRAIC GROUPS BRIAN CONRAD
- Algbraicity properties of Heegner points 1. Motivation
- Families of tori Although SGA3 develops a rather general relative theory of tori, for Deligne's purposes in x5 it is not at
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- FINITENESS OF CLASS NUMBERS FOR ALGEBRAIC GROUPS BRIAN CONRAD
- INERTIA GROUPS AND FIBERS BRIAN CONRAD
- MAIN THEOREM OF COMPLEX MULTIPLICATION BRIAN CONRAD
- CORRECTIONS TO "INERTIA GROUPS AND FIBERS" BRIAN CONRAD
- SHIMURATANIYAMA FORMULA BRIAN CONRAD
- ERRATUM FOR "DELIGNE'S NOTES ON NAGATA COMPACTIFICATIONS" BRIAN CONRAD
- SERRE'S CONJECTURES BRYDEN CAIS
- Math 248B. Modular Curves Instructor: Prof. Brian Conrad, conrad@math.stanford.edu
- MINIMAL MODELS FOR ELLIPTIC CURVES BRIAN CONRAD
- CM SEMINAR TALK NOTES 1. Classification of Abelian Varieties with Complex Multiplication
- ARITHMETIC PROPERTIES OF THE SHIMURA-SHINTANI-WALDSPURGER CORRESPONDENCE
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- MINIMAL MODELS FOR ELLIPTIC CURVES BRIAN CONRAD
- MOISHEZON SPACES IN RIGID GEOMETRY BRIAN CONRAD
- UNIVERSAL PROPERTY OF NON-ARCHIMEDEAN ANALYTIFICATION BRIAN CONRAD
- Generalities on Central Simple Algebras Michael Lipnowski
- IRREDUCIBLE COMPONENTS OF RIGID SPACES BRIAN CONRAD
- Construction and properties of the modules for patching (Modularity 5.20.10)
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- LIFTING GLOBAL REPRESENTATIONS WITH LOCAL PROPERTIES BRIAN CONRAD
- Lecture 11: Hecke characters and Galois characters Andrew Snowden
- Serre Seminar Goal: Come to as complete an understanding of Serre's conjecture and Khare's
- APPROXIMATION OF VERSAL DEFORMATIONS BRIAN CONRAD AND A.J. DE JONG
- Impossibility theorems for elementary integration Brian Conrad
- MODULAR FORMS AND AUTOMORPHIC REPRESENTATIONS
- CLARIFICATONS AND CORRECTIONS FOR GROTHENDIECK DUALITY AND BASE CHANGE
- Some local (at p) properties of residual Galois representations Johnson Jia, Krzysztof Klosin
- Lecture 18: Overview of the Taylor-Wiles method Andrew Snowden
- Finiteness theorems for algebraic groups over function fields
- DESCENT FOR NON-ARCHIMEDEAN ANALYTIC SPACES BRIAN CONRAD AND MICHAEL TEMKIN
- NAGATA COMPACTIFICATION FOR ALGEBRAIC SPACES BRIAN CONRAD, MAX LIEBLICH, AND MARTIN OLSSON
- NON-ARCHIMEDEAN ANALYTIFICATION OF ALGEBRAIC SPACES BRIAN CONRAD AND MICHAEL TEMKIN
- CHOW'S K/k-IMAGE AND K/k-TRACE, AND THE LANGNERON THEOREM BRIAN CONRAD
- MODULAR CURVES AND RIGID-ANALYTIC SPACES BRIAN CONRAD
- POWER LAWS FOR MONKEYS TYPINGS RANDOMLY: THE CASE OF UNEQUAL PROBABILITIES
- RAMIFIED DEFORMATION PROBLEMS BRIAN CONRAD
- CM Liftings Ching-Li Chai
- WEIL AND GROTHENDIECK APPROACHES TO ADELIC POINTS BRIAN CONRAD
- FORMAL GAGA ON ARTIN STACKS BRIAN CONRAD
- Units on product varieties 1. Introduction
- THE KEELMORI THEOREM VIA STACKS BRIAN CONRAD
- COHOMOLOGICAL DESCENT BRIAN CONRAD
- The Comparison Isomorphisms Ccris Fabrizio Andreatta
- Lecture 1: Overview Brian Conrad
- Lecture 2: Serre's conjecture and more October 9, 2009
- Lecture 5: Schlessinger's criterion and deformation conditions Brandon Levin
- Automorphy, Potentially Automorphy and Langlands Base Change
- Lecture 16: Review of representation theory Andrew Snowden
- Lecture 21: Structure of ordinary-crystalline deformation ring for = p 1. Basic problem
- LOCAL PROPERTIES OF MODULAR GALOIS REPRESENTATIONS ANDREW SNOWDEN
- The Patching Argument Brandon Levin
- NOTES FROM MODULARITY LIFTING SEMINAR AT STANFORD, 2009-2010 SAM LICHTENSTEIN
- POLARIZATIONS BRIAN CONRAD
- THE THEOREM OF HONDA AND TATE KIRSTEN EISENTRAGER
- Math 249A. Arithmetic of abelian varities Instructor: Prof. Brian Conrad, conrad@math.stanford.edu
- Upper half-plane formulas We want to explain the derivation of formulas for two types of objects on the upper half plane: the Atkin-
- Families of tori Although SGA3 develops a rather general relative theory of tori, for Deligne's purposes in 5 it is not at
- FINITENESS OF CLASS NUMBERS FOR ALGEBRAIC GROUPS BRIAN CONRAD
- Plan of the "Mazur seminar" There will be several background talks, to be followed by talks working through the first half of Mazur's
- Classification of quasi-finite etale separated schemes As we saw in lecture, Zariski's Main Theorem provides a very visual picture of quasi-finite etale separated
- THE OPERATOR Nick Ramsey
- FINITE-ORDER AUTOMORPHISMS OF A CERTAIN TORUS BRIAN CONRAD
- Structure near the cusps 1. The setup
- Algbraicity properties of Heegner points 1. Motivation
- Plan of the "Mazur seminar", term 2 This semester will focus on studying the minimal part of Mazur's IHES paper that is necessary to establish
- CM SEMINAR TALK Nick Ramsey
- Structure near the cusps 1. The setup
- Goal: Come to as complete an understanding of the theory of Complex Multipli-cation and its applications as time allows.
- Math 154. Algebraic Number Theory Instructor: Prof. Brian Conrad, conrad@math.stanford.edu
- Calculating deformation rings Rebecca Bellovin
- Upper half-plane formulas We want to explain the derivation of formulas for two types of objects on the upper half plane: the Atkin-
- L-FUNCTIONS FOR CM ABELIAN VARIETIES TREVOR ARNOLD
- PRIME SPECIALIZATION IN HIGHER GENUS I BRIAN CONRAD AND KEITH CONRAD
- The Mobius function and the residue theorem Brian Conrad
- PRIME SPECIALIZATION IN HIGHER GENUS II BRIAN CONRAD, KEITH CONRAD, AND ROBERT GROSS
- Existence of Taylor-Wiles Primes Michael Lipnowski
- Lecture 8: Hecke algebras and Galois representations Burcu Baran
- Journal of Number Theory 78, 253 270 (1999) Remarks on mod-ln
- Lecture 4: Generic fibers of deformation rings October 23, 2009
- ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD
- Math 252. Algebraic groups Instructor: Prof. Brian Conrad, conrad@math.stanford.edu
- JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
- DESCENT FOR COHERENT SHEAVES ON RIGID-ANALYTIC SPACES BRIAN CONRAD
- 1 Complex Theory of Abelian Varieties Definition 1.1. Let k be a field. A k-variety is a geometrically integral
- ERRATUM TO MODULAR CURVES AND RAMANUJAN'S CONTINUED FRACTION
- REDUCTION OF MODULAR JACOBIANS AT THE BAD PRIME SREEKAR M. SHASTRY
- Math 245C. Topics in algebraic geometry Instructor: Prof. Brian Conrad, conrad@math.stanford.edu
- Notes on Galois Cohomology--Modularity Rebecca Bellovin
- POTENTIAL MODULARITY AND APPLICATIONS ANDREW SNOWDEN
- Several approaches to non-archimedean geometry Brian Conrad1
- Lecture 3: Galois deformation rings October 16, 2009
- 2010-11 SEMINAR ON FALTINGS' PROOF OF MORDELL CONJECTURE (383-N, WEDNESDAYS, 1PM3PM)
- A LEMMA IN ANALYTIC NUMBER THEORY PENG GAO
- VIGRE Number Theory Working Group "Mazur Seminar" Talk 1 Universal Families and Ruling Out Small Primes
- HIGHER-LEVEL CANONICAL SUBGROUPS IN ABELIAN VARIETIES BRIAN CONRAD
- ON QUASI-REDUCTIVE GROUP SCHEMES GOPAL PRASAD AND JIU-KANG YU,
- L -FUNCTIONS FOR CM ABELIAN VARIETIES TREVOR ARNOLD
- Lecture 6: Presentations of deformation rings November 6, 2009
- Documenta Math. 325 J1(p) Has Connected Fibers
- CLASSICAL MOTIVATION FOR THE RIEMANNHILBERT CORRESPONDENCE
- REVIEW OF GALOIS DEFORMATIONS SIMON RUBINSTEIN-SALZEDO
- AUTOMORPHIC FORMS ON QUATERNION ALGEBRAS ANDREW SNOWDEN
- 1.Introduction In order to make Deligne's paper a bit more comprehensible, I want first to g*
- ALTERNATIVE PROOF OF PROPOSITION 2.1 IN MAZUR'S "RATIONAL ISOGENIES OF PRIME DEGREE" PAPER
- MODULI OF ELLIPTIC CURVES JAMES PARSON
- TALK 9: FORMAL IMMERSIONS AND QUOTIENTS OF MODULAR JACOBIANS
- MAZUR SEMINAR. Talk 10 KRIS KLOSIN
- Representations of p-adic groups for the modularity seminar.
- REDUCTIVE GROUP SCHEMES (SGA3 SUMMER SCHOOL, 2011) BRIAN CONRAD
- ALGEBRAIC INDEPENDENCE OF PERIODS AND LOGARITHMS OF DRINFELD MODULES
- THE STRUCTURE OF SOLVABLE GROUPS OVER GENERAL FIELDS BRIAN CONRAD
- NON-SPLIT REDUCTIVE GROUPS OVER Z BRIAN CONRAD AND BENEDICT H. GROSS
- Math 210B. Algebra Instructor. Prof. Brian Conrad, 383CC Sloan Hall, conrad@math.stanford.edu
- Math 145. Algebraic Geometry Instructor: Brian Conrad, 383-CC Sloan Hall, conrad@math.stanford.edu
- Math 249A. Arithmetic of abelian varities Instructor: Prof. Brian Conrad, conrad@math.stanford.edu