***SPAM*** Seminar by Luca Fiorindo at UniTS

ZUDDAS DANIELE dzuddas at units.it
Tue Feb 18 18:48:08 CET 2025


Dear all,

it is my pleasure to announce a talk by Luca Fiorindo (Università di Genova)
on Friday 21 at 12:00 in Sala Seminario, III floor of our Department (via Valerio 12/1).

We could have lunch all together at I Sapori di Toni just after the talk. In case please let me know as soon as possible so I can make a reservation.

Title: Arithmetic complexes for stable sheaf cohomology groups

Abstract: A classical problem connecting algebraic geometry and representation theory is the computation of sheaf cohomology for line bundles on flag varieties. In positive characteristic, these cohomology groups can be expressed using Schur functors and the cotangent sheaf of a projective space P(V). Raicu and VandeBogert proved that these groups stabilize when the dimension of V is sufficiently large and, under certain conditions, can be explicitly computed using "arithmetic complexes". In joint work with E. Reed, S. Roshan-Zamir, and H. Yu, we prove a symmetry theorem for these complexes. This provides an alternative proof of Raicu and VandeBogert’s result, leading to a more general outcome.

Everybody is very welcome.

Daniele



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