Fall 2022 Learning Seminar

Schedule

Here are the details of each talk.

Date Time/Place Topic Speaker Notes
September 19 1-3pm 2-449 Overview of Kolyvagin's results, Heegner points Weixiao Lu KolThm
September 26 2-4pm 2-361 Kolyvagin system relations, global duality argument Mikayel Mkrtchyan
October 3 2-4pm 2-361 Euler system of cyclotomic units Murilo Zanarella Cycl
October 17 2-4pm 2-361 Hodge--Tate representations, general formalism Hao Peng padic
October 24 2-4pm 2-361 De Rham representations Hao Peng padic
October 31 2-4pm 2-361 Crystalline and semistable representations Vijay Srinivasan
November 7 2-4pm 2-361 Conjectures about Galois representations Hao Peng
November 14 2-4pm 2-361 Bloch--Kato Selmer group and Bloch--Kato conjecture Gefei Dang
November 21 2-4pm 2-361 Introduction to Iwasawa theory Murilo Zanarella Iwasawa
November 28 2-4pm 2-361 Iwasawa theory of elliptic curves Murilo Zanarella EllIwasawa
December 5 2-4pm 2-361 Beilinson's conjecture on special values of L-functions Hao Peng
December 12 2-4pm 2-361 Introduction to Kudla's program Ryan Chen

References

Gross: Kolyvagin's work on modular elliptic curves
Mazur--Rubin: Kolyvagin systems
Rubin: The Main Conjecture
Brinon--Conrad: Notes on p-adic Hodge theory
Bellaiche: An introduction to the conjecture of Bloch and Kato
Bloch--Kato: L-functions and Tamagawa number of motives
Skinner: Lectures on the Iwasawa theory of elliptic curves
Schneider: Introduction to the Beilinson conjectures
Li: From sum of two squares to arithmetic Siegel--Weil formulas
Li: Geometric and arithmetic theta correspondences
Kudla--Rapoport: Special cycles on unitary Shimura varieties II: global theory