The seminar will meet weekly at the Student Lounge or Thesis Room, from 2:00pm-3:00pm on Friday. The official homepage for the seminar is here.
I shall be following the notes of Jayce R Getz and his upcoming book with Heekyoung Hahn.
Algebraic Groups I
January 5th, 2018
Abstract: In this talk, I shall define and give examples of algebraic groups; focussing on the case of linear affine algebraic group. Notes
Algebraic Groups II
January 12th, 2018
Abstract: We continue with various notion related to affine algebraic groups such as algebraic group homomorphisms (so we get a category to work with), algebraic subgroup, derived subgroup, existence of center, quotient, extension of scalars and Weil restrictions of scalars. Notes
Algebraic Groups III
January 19th, 2018
Abstract: We continue our discussion with the notion of unipotent radical, semisimple, torus, reductive group. Notes
No talk on January 26th, 2018 for Prof. Dodziuk's birthday conference.Algebraic Groups IV
February 2nd, 2018
Abstract: Let's talk about Lie algebra and classification of reductive groups via root system. Notes
Algebraic Groups V
February 23th, 2018
Abstract: Adelic points on algebraic groups and strong approximation. Notes
Analysis on Locally Compact Group
March 2nd, 2018
Abstract: A short introduction to Haar measures on locally compact group. Notes
Automorphic Representations I
April 27th, 2018
Abstract: We give a quick review of basic representation theory in the context of locally compact Hausdorff groups and state the first definition of automorphic representations. Notes
Automorphic Representations II
May 4th, 2018
Abstract: We continue with an alternative definition of automorphic representations and some representation theory of Lie group. Notes
Automorphic Representations III
May 11th, 2018
Abstract: Representation theory of td groups. Automorphic forms and modular forms. Notes
Automorphic Representations IV
May 18th, 2018
Abstract: The case of $GL_2$. Notes