HOẠT ĐỘNG TRONG TUẦN

Time: 2 p.m, Tuesday, April 4, 2023

Venue: Room 301, Building A5, Institute of Mathematics

Abstract: In 2017, through the application of $p$-adic integration to the Hitchin integrable system, Groechenig, Wyss and Ziegler (GWZ) proved the (non-parabolic version of) topological mirror symmetry (conjectured by Hausel and Thaddeus, in which they predicts a correspondence between the Hodge numbers of the moduli spaces of $SL_n$-Higgs bundles and the moduli spaces of $PGL_n$-Higgs bundles). Using the same approach, in 2019, they extended their work to a general pair of Langlands dual groups $(G,hat{G})$ and obtained a new proof for Ngo's geometric stabilization theorems. In this talk, firstly I will try to explain the work of GWZ and then state a research project on “Applying GWZ's $p$-adic integration formalism to Parabolic Higgs bundles”.