TRINO ALGEBRAIC GEOMETRY SEMINAR - Wednesday, 15 March, at 14:00 - Francesca Carocci - Venue: SISSA, room 134

[ICTP Math Section]

TRINO ALGEBRAIC GEOMETRY SEMINARS 2023

Dear Colleagues,

the next appointment with the TRINO series will be next week:

Venue: Room 134 (SISSA), on Wednesday, 15 March 2023, at 14:00

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Speaker: Francesca Carocci (EPFL)

Title: BPS invariant from p-adic integrals

Abstract: We consider moduli spaces of one-dimensional semistable 
sheaves on del Pezzo and K3 surfaces supported on ample curve classes.
Working over a non-archimedean local field F, we define a natural 
measure on the F-points of such moduli spaces. We prove that the 
integral of a certain naturally defined gerbe on the moduli spaces with 
respect to this measure is independent of the Euler characteristic.
Analogous statements hold for (meromorphic or not) Higgs bundles.
Recent results of Maulik-Shen and Kinjo-Coseki imply that these 
integrals compute the BPS invariants for the del Pezzo case and for 
Higgs bundles.
/This is a joint work with Giulio Orecchia and Dimitri Wyss./

All interested are welcome to attend


Koutou, on behalf of  Andrea T. Ricolfi
SISSA
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