| Date | Speaker | Title |
| 08/23 | No Seminar | |
| 08/30 | Yeansu Kim (Chonnam National University) | Classification of discrete series representations of odd GSpin groups |
| 09/06 | No Seminar | |
| 09/07 (BRNG B222, 1:30-2:30) |
Ivan Cherednik (University of North Carolina Chapel Hill) | Absolute Galois group, elliptic curves with one puncture and rigid DAHA-modules in rank one |
| 09/13 | Daniel J Shankman (Purdue University) | Local Langlands correspondence for Asai L and epsilon factors |
| 09/20 | Tong Liu (Purdue University) | An introduction on the ramification theory |
| 09/27 | Takeshi Saito (University of Tokyo) | Characteristic cycle of an etale sheaf and its functoriality (Lecture 3) |
| 10/04 | Dongming She (Purdue University) | Supercuspidal stability and the local Langlands correspondence for the twisted exterior and symmetric square epsilon-factors of GL_n |
| 10/11 | ||
| 10/18 | No seminar | |
| 10/25 | Ling Long (Louisiana State University) | TBA |
| 10/30 (BRNG 1238, 1:30-2:30) |
Siddhartha Sahi (Rutgers University) | TBA |
| 11/01 | Baiying Liu(Purdue University) | Merge to Purdue Mathematical Physics Seminar |
| 11/08 | Freydoon Shahidi(Purdue University) | TBA |
| 11/15 | No Seminar | Sixth Abel conference - A Mathematical Celebration of Robert P. Langlands |
| 11/22 | Thanksgiving Holiday | |
| 11/29 | Yunqing Tang (Princeton University) | TBA |
| 12/06 |
08/30, 2018
Yeansu Kim
Title: Classification of discrete series representations of odd GSpin groups
Abstract:
The classification of discrete series is one important subject with numerous application
in the harmonic analysis and in the theory of automorphic forms. Recently,
with Ivan Matic (University of Osijek, Croatia), we obtain a classification of discrete
series of odd general spin groups, generalizing the Moeglin-Tadic classification
for classical groups. Our approach presents a simplified and uniform proof of a
bijective correspondence between isomorphism classes of the non-cuspidal discrete
series and the admissible triples, which mostly relies on purely algebraic methods,
available in both classical and the odd general spin case. If time permits, I am going
to explain what Matic and I recently did for other connected reductive groups.
09/07, 2018
Ivan Cherednik
Title: Absolute Galois group, elliptic curves with one puncture and rigid DAHA-modules in rank one
Abstract:
Galois-Purdue
09/13, 2018
Daniel J Shankman
Title: Local Langlands correspondence for Asai L and epsilon factors
Abstract:
Let E/F be a quadratic extension of p-adic fields. The local Langlands correspondence establishes a bijection between n-dimensional Frobenius semisimple representations of the Weil-Deligne group of E and smooth, irreducible representations of GL(n,E). We reinterpret this bijection in the setting of the Weil restriction of scalars Res(GL(n),E/F), and show that the Asai L-function and epsilon factor on the analytic side match up with the expected Artin L-function and epsilon factor on the Galois side.
09/20, 2018
Tong Liu
Title: A introduction to ramification filtration of local fields
Abstract:
In this talk, we will briefly discuss filtration structure of Galois group of local field. Such filtration measures how ramified of field extension is, so it is called ramification filtration. I will briefly review the construction of lower and upper ramification filtration, and their relationship to other arithmetic invariants like conductor. ?
09/27, 2018
Takeshi Saito
Title: Characteristic cycle of an etale sheaf and its functoriality (Lecture 3)
Abstract:
This will be a continuation of the second talk in the Algebraic Geometry Seminar.
10/04, 2018
Dongming She
Title: Supercuspidal stability and the local Langlands correspondence for the twisted exterior and symmetric square epsilon-factors of GL_n
Abstract:
In this talk we will introduce the local Langlands correspondence for the twisted exterior and symmetric square representations of GL_n, using Langlands-Shahidi method to define their local analytic gamma-factors, and explain the main idea of the proof of the stability of gamma-factors. The proof replies on some harmonic analysis of the asymptotic behavior of partial Bessel functions. I will also introduce more general problems about supercuspidal stability if time permits.
11/29, 2018
Yunqing Tang
Title: TBA
Abstract:
TBA