Room 509, Cosmology Building, NTU

**Speaker(s):**

Kai-Wen Lan (University of Minnesota)

**Organizer(s):**

Ming-Lun Hsieh (National Taiwan University)

****Venue changed (R. 515 to R. 509)**

**1. Outline & Descriptions**

Shimura varieties are generalizations of modular curves, whose cohomology is useful for relating automorphic and Galois representations in the context of Langlands program. For each prime number p, the associated p-adic completed cohomology naturally captures lots of p-adic interpolations of such relations. In this lecture series, I will start with a general introduction to Shimura varieties, and explain some background materials in complex and p-adic Hodge theories. After these preparations, I will explain some vanishing results for the rational completed cohomology of Shimura varieties in my joint work in progress with Lue Pan. I will provide concrete examples when possible.

**2. Registration**

**Contact:**
Murphy Yu (murphyyu@ncts.tw)