Colloquium / Seminars

Topic：On a cohomological description of algebraic cycles modulo numerical equivalence
Speaker：Dr. Ryota Mikami
　　　　(Academia Sinica)
Date time：Feb. 18, 2025 14:00-15:00
Venue：SA213
Abstract：
Abstract
The group of algebraic cycles, i.e, formal sums of algebraic subvarieties of a fixed algebraic variety, is a fundamental invariant in algebraic geometry. Since the group is too large, we usually consider its quotients by adequate equivalence relations. Numerical equivalence is one of such equivalence relations given abstractly. In this talk, I will explain a description of the quotient by numerical equivalence (with rational coefficients) as cohomology of some geometric object under suitable assumption.

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