Algebraic Geometry Seminar

Title: On the nonnegativity of stringy Hodge numbers
Speaker: Sebastián Olano
Speaker Info: Northwestern
Brief Description:
Special Note:

Stringy Hodge numbers are a generalization of the usual Hodge numbers of a smooth projective variety. Batyrev introduced them to formulate the topological mirror symmetry test for singular Calabi-Yau varieties. These numbers are defined on a wider class of projective varieties with mild singularities, which are studied in birational geometry. In contrast to the usual Hodge numbers, stringy Hodge numbers are not defined via a cohomology theory. Consequently, Batyrev conjectured that they are nonnegative. This nonnegativity represents a numerical constraint on the exceptional divisor of a resolution of singularities, and thus, it is of intrinsic interest in birational geometry. In this talk, I will present positive results towards Batyrev’s conjecture.
Date: Thursday, October 17, 2019
Time: 4:00pm
Where: Lunt 107
Contact Person: Mihnea Popa
Contact email: mpopa@math.northwestern.edu
Contact Phone:
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