Speaker: Prof. Zhiyuan Li (Shanghai Center for Mathematical Sciences)
Time: 14:00-15:00 April 3, 2023 (Monday)
Place: MCM410
Inviter: Prof. Baohua Fu (MCM)
Title: Bloch's conjecture for symplectic autoequivalences on K3 surfaces
Abstract: Bloch's conjecture for a surface X over an algebraically closed field k states that every homologically trivial correspondence acts as 0 on the Albanese kernel. When X is a K3 surface, this conjecture has been proved by Voisin and Huybrechts for symplectic automorphisms of finite order. In this talk, I will talk about the recent progress on Bloch's conjecture for symplectic autoequivalences on a K3 surface. In particular, we show that the conjecture holds for symplectic automorphisms of arbitrary order provided the Neron-Severi lattice is not a two twist. This also gives a new proof of Voisin's result on symplectic involutions. I will also mention the application to Bloch's conjecture for hyper-Kähler varieties. This is a joint work with X.Yu and R. Zhang.
Speaker: Prof. Yichao Tian (MCM)
Time: 14:00-15:30 April 3, 2023 (Monday)
Place: MCM110 & Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Syntomification in characteristic p
Abstract: Discuss [Bha, §4.1-4.3]. Introduce Definitions 4.1.1 & 4.2.1, and mention (some of) their properties buried in the remarks; then discuss Example 4.2.6, Proposition 4.3.1, Example 4.3.3, Definition 4.3.4. Fill the remaining time with other materials in these sections.
This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on prismatic F-gauges held on each Monday at MCM110. More info can be found on the website.
Speaker: Prof. Jingren Chi (MCM)
Title: Affine Springer fibers for p-adic groups
Time: 10:30-11:30am, April 6, 2023
Place: MCM110 & Online (Zoom ID: 466 356 2952 Password: mcm1234)
Abstract: Affine Springer fibers were introduced by Kazhdan-Lusztig as a generalization of Springer fibers to loop groups. Later they were found to have applications in harmonic analysis in reductive groups over equal-characteristic local fields, as a geometrization of orbital integrals. In this talk we give an introduction to the geometry of affine Springer fibers and their analogue for p-adic local fields.
This is a periodic series seminar organized by members and postdoctors of Morningside Center of Mathematics held on each Thursday at MCM110. More info can be found on the website.
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