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中科院数学与系统科学研究院

数学研究所

 

数论研讨班

1. Vytautas Paskunas (University Duisburg-Essen)
时间: 2019-03-15 (Friday) 13:30-14:30
地点:晨兴楼110
题目: On infinitesimal characters
摘要:  We prove a quite general result about existence of infinitesimal characters in arithmetic families of locally analytic representations. As a consequence of this and dimension considerations, we deduce that certain Banach space representations occurring in completed cohomology are of finite length. (Joint with Gabriel Dospinescu and Benjamin Schraen).

2. Yiwen Ding (BICMR)
时间:2019-03-15 (Friday), 14:50-15:50
地点:晨兴楼110
题目 : A local-global compatibility problem in locally analytic p-adic Langlands program
摘要: We construct functors sending locally analytic representations to pro-objects of the category of generalized (phi,Gamma)-modules over the Robba ring. Using the functors, we formulate a local-global compatibility conjecture in locally analytic p-adic Langlands program. We also show some partial results towards the conjecture. This is a joint work with Christophe Breuil.

3. Daniel Le (University of Toronto)
时间: 2019-03-15 (Friday), 16:10-17:10
地点:晨兴楼110
题目: The Breuil-Mézard conjecture for generically tamely potentially crystalline representations.
摘要: The Breuil-Mézard conjecture relates various Galois deformation rings using the local Langlands correspondence and modular representation theory. We describe how subvarieties of (fusion) affine Grassmannians can be used to model Galois deformation rings and prove a restricted version of this conjecture. This is joint work in progress with Le Hung, Levin, and Morra
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