Title of Seminar: Algebraic Geometry Preprint Seminar 2025
Title of Talk: Polynomiality of the coefficients of $c(Pol^d(\mathbb{C}^n ))$.
Speaker: Anantadulal Paul, TIFR, Mumbai
Date: November 04, 2025
Time: 16:00:00 Hours
Venue: DTP Seminar Room (A-304)

Abstract: Polynomiality is a crucial aspect in the context of several enumerative problems. In this talk, we will discuss the $d$-dependence of $c(Pol^d(\mathbb{C}^n ))$, the Chern class of the $GL(n)$ representation of degree $d$ homogeneous polynomials in $n$ complex variables is polynomial. As an application to enumerative results, one can apply this to compute the degree of varieties of hypersurfaces containing linear subspaces, as well as the degree and Euler characteristics of Fano schemes of lines for generic hypersurfaces. This talk is based on the arXiv preprint:2509.01725.