28-08-2020
467

(研讨班持续更新)Algebra, Number theory and Arithmetic geometry Seminar

Talk 1:

Title: Homological conjectures related to Hochschild cohomology

Speaker: Guodong ZHOU ( 华东师范大学)

Time: 3rd Septembre  10:00-11:00

Tencent Metting ID: 391 659 331

Abstract: We will present the state of art of several homological conjectures related to Hochschild cohomology.

Talk2:

Title: A survey of shafarevich conjecture for hyperkahler varieties.

Speaker:李志远(上海数学中心)

Time:2020年9月10日

Tencent Meeting ID: 482 979 007

Abstract: The classical Shafarevich conjecture is about thefiniteness of isomorphism classes of varieties with good reduction over numberfields. In higher dimension case, Andre had verified the conjecture for verypolarized hyperkahler varieties. In this talk, I will survey the recentprogress for unpolarized hyper-Kahler varieties of arbitrary dimension.

Talk3:

Title: Basepoint-freeness of primitivepolarizations on Abelian varieties

Speaker:江智(上海数学中心)

Time:2020年9月17日

Tencent Meeting ID:106 321 103

Abstract:Fujita’s basepoint-freeness conjecture remains open in dimension >5. We will discuss some refined version of Fujita type equation on abelian varieties.

Talk4:

Title:GL_2(Q_p)-ordinary families and automorphy lifting

Speaker:丁一文(北京国际数学中心)

Time:2020年9月24日

Tencent Meeting ID:106 321 103

Abstract:Using Emerton’s parabolic ordinary part functor and p-adic local Langlands correspondence for GL_2(Q_p), we construct some families of p-adic automorphic representations, that we call GL_2(Q_p)-ordinary families. We will give some basic properties of these families and will report an “R=T” result on these families.

Talk5:

20201015日 张翀(南京大学)

题目:p进约化群表示的分支律

摘要:分支律关心群表示限制在子群后的性质。此报告主要谈论p进约化群复表示的分支律,将综述相关工具和一些进展。

Talk6:

20201022日 胡永泉(晨兴数学中心)

Title: Gelfand-Kirillov dimensions in p-adic Langlands program

Abstract: The Gelfand-Kirillov dimension is an important notion in the study of non-commutative noetherian rings. In this talk, I will first explain this notion for mod p and p-adic representations of p-adic groups, and then explain a control theorem of the Gelfand-Kirillov dimension for mod p representations of GL_2 and its application in the p-adic Langlands program. This is a joint work with Breuil, Herzig, Morra, Schraen, and with Wang.

Talk7:

2020年10月29日 阳恩林(北京大学)Tencent Meeting ID: 106 321 103

Title: Localized characteristic classes for constructible etale sheaves

Abstract: In this talk, I will first recall the theory of singular support of constructible etale sheaves after Beilinson, and then define a localized version of characteristic class, which generalize Abbes-    Saito’s definition. I will also show a relationship between the localized characteristic class and the relative characteristic class. This is joint work with Yigeng Zhao in progress.

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