ICTP MATHEMATICS SEMINAR - Friday 8 March, at 15.00 - Alina Marian - VENUE: ICTP Leonardo Building - Luigi Stasi Seminar Room

[ICTP Math Section]

_ICTP  MATHEMATICS SEMINARS - 2024_


Friday 8 Mar 2024, at 15:00 (Central European Time)


Venue: ICTP Leonardo Building - Luigi Stasi Seminar Room


Speaker: Alina Marian (ICTP)


Title: On the intersection theory and the Segre-Verlinde correspondence 
of moduli spaces of stable sheaves over curves and surfaces. Part I: the 
case of curves.



Abstract: I will describe the Verlinde-Segre relationship for the moduli 
space of semistable vector bundles over a smooth projective curve C, 
using a suitable Quot scheme on C. In the coprime rank and degree case, 
I will also explain that any tautological integral on the moduli space 
of stable bundles on C can be expressed, using the geometry of Quot 
schemes on C, as a sum of integrals on r-products of Sym^d(C) for 
suitable degrees, therefore reducing the calculation to rank one. This 
is the first talk in a lecture series on recent and ongoing work which 
explores how to relate the intersection theory of moduli spaces of 
stables sheaves to that of suitable Quot schemes, leading to an 
effective way of calculating interesting intersection-theoretic 
invariants of the moduli space.

All interested are welcome to attend.

/https://indico.ictp.it/event/10668/
/


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Koutou Mabilo
ICTP Mathematics Group
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