Affiliation:
Universitá di Padova/MPIM
Date:
Thu, 06/02/2025 - 15:00 - 16:00
In various geometric situations, given two geometric objects X and Y and their product X x Y, invariants of X x Y turn out to be closely related to the ones of X and of Y. For example, this is true for the fundamental group of topological spaces. Similarly, the Künneth formula describes the cohomology of X x Y in terms of the one of X and the one of Y. One level up, one may ask for a categorical Künneth formula, which concerns the question, of relevance in the Langlands program, whether one can decompose the entire category of sheaves on X x Y into pieces coming from X and Y.