WALLS and DOORS

(We All Love Local Systems and DefOrmations Of Representations Seminar)

In this seminar, we (students of Stefan Patrikis) give talks on papers we read and topics we want to learn. It is the spiritual successor of the PANTS Seminar.

Spring 2025

• Mehmet Başaran: Chevalley groups and their centers
  February 25
• Jake Huryn: G-companions and Drinfeld's theorem on the pro-semisimple completion
  February 11, February 18
• Stefan Nikoloski: Forcing ramification when deforming Galois representations
  January 14, January 21, January 28

Autumn 2024

• Jake Huryn: Torsion of Abelian varieties over large fields of algebraic numbers
  December 4, December 11
• Yifei Zhang: Spreading out certain rigid local systems
  November 15, November 22
• Min Shi: On the geometric origin of certain rigid integral local systems
  October 25, November 1, November 8
• Mehmet Başaran: Bala–Carter theory
  October 4, October 18
• Stefan Nikoloski: Generic fibers of deformation rings
  September 20, September 27

Spring 2024

• Mehmet Başaran: Practice presentation of candidacy proposal
  April 22
• Jake Huryn: Practice presentation of candidacy proposal
  April 1
• Min Shi: Existence of quotients of affine algebraic groups
  March 18, March 20, March 25
• Luke Wiljanen: De Jong's conjecture and applications to deformation theory
  February 28, March 8
• Stefan Nikoloski: Chevalley's theorem on parabolic subgroups
  February 19, February 21
• Yifei Zhang: Affine algebraic groups are linear
  with a reading of A Dream Within a Dream by Edgar Allan Poe
  February 5, February 7
  
• Mehmet Başaran: Computing the root systems of classical groups
  January 24
• Jake Huryn: Introduction to algebraic groups; detailed study of tori
  January 15, January 17

Summer 2023

• Stefan Nikoloski: Shafarevich's theorem
  August 9, August 16
• Min Shi: Two proofs of Tate's theorem
  August 2
• Yifei Zhang: The Weil conjectures
  July 26, July 31
• Jake Huryn: Étale companions over finite fields and Drinfeld's theorem
  July 19, July 24
• Min Shi: On Kuga–Satake constructions
  July 12
• Stefan Nikoloski: Ramakrishna's method of lifting residual representations
  July 5, July 17
• Luke Wiljanen: Local class field theory: a tale of two-cocycles
  June 21, June 28, July 3, July 17
• Mehmet Başaran: Opening the door to computing local deformation rings
  June 21, July 3
• Jake Huryn: Introduction to étale local systems and companions
  June 8, June 28