Special Year Seminar

p-adic Hodge Theory and Simpson’s Correspondence

This talk will introduce background, achievements and challenges in the quest to find non-Archimedean versions of the celebrated Corlette-Simpson correspondence, which on Kähler manifolds relates representations of the fundamental group to certain Higgs bundles.

In the non-Archimedean world, vector bundles for the v-topology on Scholze’s diamonds have proven to be a useful framework to study analogous problems.  This leads to some results and many questions even beyond the scope of the classical setting.  In particular, I will explain results for abeloid varieties obtained jointly with Ben Heuer, Lucas Mann and Mingjia Zhang. 

Date & Time

October 25, 2023 | 2:00pm – 3:00pm


Simonyi 101 and Remote Access