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Theory of schemes and stacks, Derived Categories and Intersection theory I, II

来源: 11-07

时间:Fri., 9:50 am-12:15 Sept. 13, 2024 - Jan. 10, 2025

地点:Room 210, B Zone No. 6 Teaching Building, Tsinghua University

主讲人:Artan Sheshmani (BIMSA)

Speaker:

Artan Sheshmani (BIMSA)

Time:

Fri., 9:50 am-12:15

Sept. 13, 2024 - Jan. 10, 2025

Online:

Zoom Meeting ID: 230 432 7880

Passcode: BIMSA


Venue:

Room 210, B Zone No. 6 Teaching Building,

Tsinghua University

Introduction:

This course is targeting 3 major segments of algebraic geometry. The theory of schemes and stacks following Griesedieck’s EGA / SGA and Deligne’s work on stacks. The derived category of coherent sheaves, its properties and relevance to birational geometry and moduli theory, and intersection theory on schemes and stacks. Students who passed a basic course in algebraic geometry (e.g. Hartshorne’s first 3 chapters) must be able to follow the course with no further pre-requisite. The course will offer an extensive analysis of all three segments and aims at providing the detailed background for algebraic geometry students to perform advanced research on geometry of schemes and moduli, say in the context of birational geometry, enumerative algebraic geometry or derived algebraic geometry.

This is a credited course offered at Qiuzhen College: 3 units each semester.

- Notes will be provided during the lecture by the instructor.


Prerequisite:

Basic course in Algebraic Geometry (first 3 chapters of Hartshorne)

About the speaker:

Artan Sheshmani is a Professor of pure Mathematics, specialized in Algebraic geometry, Enumerative and Derived Geometry, and Mathematics of String Theory. He is a Professor at Beijing Institute of Mathematical Sciences and Applications in Beijing, and a senior personnel (Professor) at Simons Collaboration Program on Homological Mirror Symmetry ( Harvard University Center for Mathematical Sciences and Applications), and an Affiliate Faculty Member at Harvard University- MIT IAiFi (Institute for Artificial Intelligence and Fundamental Interactions). He studies geometry of moduli spaces of sheaves and curves on Calabi Yau spaces, some of which arise in the study of mathematics of string theory.

More information:

https://bimsa.net/activity/TheofschandstaDerCatandIntthe/

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