**2012 Conference on **

**L-functions**

http://www.shineville.com:8080/english/html/index.asp

L-functions have been playing a significant role in Number Theory. Several analytical properties of L-functions are known via the techniques of Analytic Number Theory. We can also study deeply about L-functions via the Langlands Program. The theme is to update our knowledge on L-function theory and explore further how far we can pursue using both theories.

Invited speakers:

**Dmitry Gourevitch (Weizmann Institute of Science) **

*- Degenerate Whittaker models for real reductive groups*

**Kaoru Hiraga (Kyoto University) **

*- On endoscopy for covering groups of SL(2)*

**Christopher Hughes (University of York)***- Bounding the zeta function*

**Henry Kim (University of Toronto & KIAS) **

*- Automorphic Correction of Kac-Moody algebras*

**Wook Kim (KIAS)**

*- Residual spectrum under isogeny*

**Yasushi Komori (Rykkyo University)**

*- Zeta-functions of weight lattices of compact connected semisimple Lie groups *

**Yoonbok Lee (University of Rochester) **

-* Mean Values of $ \zeta'/\zeta(s)$, Correlations of Zeros, and the Distribution of Almost Primes*

**Jungyun Lee (KIAS ) **

*- Todd operator of 2d cones, special values of zeta function and polynomial behavior*

**Helmut Maier (University of Ulm) **

*- Exponential sums with Dirichlet- characters and zeros of Dirichlet L- Serie*

**Zhengyu Mao (Rutgers University) **

*- Computation of central values of L-functions*

**Omer Offen (Technion-Israel Institute of Technology)**

*- Root Numbers and Distinguished Representations*

**A. Sankaranarayanan (NIMS & Tata Institute of Fundamental Research)**

*- The role of certain exponential sums and some consequences*

**David Soudry (Tel Aviv University)**

*- On CAP representations of even orthogonal groups*

**Masatoshi Suzuki (Tokyo Institute of Technology) **

*- **Zeros of self-reciprocal polynomials and canonical systems of differential equations *

**Nicolas Templier (Princeton University) **

*- Harmonic families of automorphic representations *

**Lin Weng (Kyushu University) **

*- Non-abelian Zeta Functions for Elliptic Curves and Their Zeros *

**Cem Yildirim (Bogaziçi University)**

*- A survey of results on small gaps between primes*

Organizers:

Haseo Ki(Yonsei University & KIAS)

Jinsung Park(KIAS)

Sug Woo Shin(MIT & KIAS)

**This workshop is sponsored by KIAS, NIMS and NRF.**