Cohomology of toric vector bundles via Weil decorations

Relatore
Andreas Hochenegger - Politecnico di Milano

Data
19-mar-2025 - Ora: 15:30 Sala Verde (presenza e remoto)

One can write divisors D as a difference of two nef divisors. In the toric context, this translates into the formal difference of two polytopes P-Q. It is possible to express the cohomology of O(D) via these two polytopes. In my talk I will show how this approach can be generalized to vector bundles E of higher rank. Using the language of Weil decorations, the cohomology of E will be related to the cohomology of a constructible sheaf. This is joint work with Klaus Altmann and Frederik Witt.

Link: https://unipd.zoom.us/j/82518660070?pwd=RUpxL1FnZG9yVzFrOCtrM0xYMEZaZz09

Meeting ID: 825 1866 0070

Password: 62542

Data pubblicazione
10-mar-2025

Referente
Alessio Cipriani
Dipartimento
Informatica