【03-31】Periods of algebraic varieties-Mingmin Shen

Title: Periods of algebraic varieties
Speaker: Mingmin Shen, University of Amsterdam, Netherlands
Time: 2025-03-31 (Monday) 09:00-10:00
Location: Room 312, New Building, School of Mathematical Sciences, USTC

Abstract:
Algebraic varieties are spaces defined by polynomial equations. Calculus on such spaces easily leads to integrals of algebraic differential forms along topological cycles; such integrals give an interesting class of numbers, called periods. One example is the elliptic integral, which has played an important role in the development of mathematics.

Periods are very important, but they are also very difficult to calculate. In this talk, I will describe a modern framework for the study of periods and some conjectures on their properties.

Then I will discuss some known results around these conjectures.

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