Room 201, Astronomy-Mathematics Building, NTU

**Speaker:**

Shih-Yu Chen (National Taiwan University)

Yao Cheng (National Taiwan University)

Ming-Lun Hsieh (Academia Sinica)

Fu-Tsun Wei (National Central University)

**Organizers:**

Ming-Lun Hsieh (Academia Sinica)

1/16, Title: “Representations for GL(2) over local fields and L-functions”

Speaker: Fu-Tsu Wei (NCU)

Classification of irreducible admissible representations of GL(2) over local fields of char. zero, Whittaker models, Kirillov models, The definitions of local zeta integrals and local L-functions for GL(1) and GL(2), functional equations.

1/17, Title: "Representations for GL(2) over number fields and L-functions”

Speaker: Ming-Lun Hsieh (AS)

Hecke algebras and tensor product theorem, Global zeta integrals for automorphic forms, global L-functions and functional equation and converse theorem

1/18, Title: “The Shimura-Waldspurger theta correspondence”

Speaker: Shih-Yu Chen (NTU)

Weil representations over local and global fields for O(m)xSp(n), explicit Shimura-Waldspurger correspondence, Waldspurger formula

1/19, Title: “Trace formula and Jacquet-Langlands correspondence”

Speaker: Yao Cheng (NTU)

Introduce necessary tools in trace formula to explain a proof of Jacquet-Langlands correspondence.

Reference:

(1) Automorphic representations and L-functions for the general linear group Volume I, Goldfeld and Hundley, Cambridge studies in advanced mathematics 129

(2) Automorphic forms on GL(2), Lecture notes in mathematics 114

Prerequisites: Basic Algebra and number theory. For example,

The audience is assumed to be familiar with “A course in arithmetic”, Serre, GTM07.

**Contact:**
Annie Wang, anniewang@ncts.ntu.edu.tw, 02-33668811