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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：关于仿射Deligne-Lusztig簇的研究
仿射 Deligne-Lusztig簇 仿射旗流形 几何性质 算术几何
2023/4/26
仿射Deligne-Lusztig簇是经典的Deligne-Lusztig簇在仿射旗流形中的类比，其几何性质在算术几何中有着重要的应用。本报告将介绍仿射Deligne-Lusztig簇与组合、算术几何、表示论等领域的联系，最新的进展,和一些公开问题。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Deligne-Beilinson cohomology of the universal K3 surface
泛K3曲面 Deligne-Beilinson 同调
2023/5/15
O'Grady's generalized Franchetta conjecture is concerned with algebraic cycles of codimension 2 on the universal polarized K3 surface of genus g. This conjecture has been confirmed only for certain sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some geometry of affine Deligne-Lusztig varieties
仿射 Deligne-Lusztig变种 几何
2023/5/17
The mod p points of a Shimura variety have a conjectural description called the Langlands-Rapoport conjecture. In accordance with the conjecture, Rapoport defined (generalized) affine Deligne-Lusztig ...