A motivic version of topological mirror symmetry
François Loeser (Sorbonne Université)
Abstract: Hausel and Thaddeus have conjectured that the moduli spaces of twisted SL_n- and PGL_n-Higgs bundles on a smooth projective curve have the same (twisted) stringy Hodge numbers. This was recently proven by Groechenig, Wyss and Ziegler using $p$-adic integration. In this talk we shall explain how we can prove using motivic integration that the result holds in the Grothendieck ring of rational Chow motives. This is joint work with D. Wyss.
algebraic geometry
Audience: researchers in the topic
ZAG (Zoom Algebraic Geometry) seminar
Series comments: Description: ZAG seminar
The seminar takes place on Tuesdays and Thursdays via Zoom. Zoom passwords are given via mailing list on Fridays. To join the mailing list go to the website.
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Times vary to accommodate speakers time zones but times will be announced in GMT time.
| Organizers: | Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu |
| *contact for this listing |