2018 Intercity Geometry Seminar
The spring 2018 Intercity Geometry Seminar will be held around Mirror Symmetry and moduli spaces of Higgs bundles. We will be following a recent preprint of Grochenig, Wyss and Ziegler in which they prove a conjecture of Hausel and Thaddeus on the Hodge numbers of these moduli spaces. Announcements will be sent out via the am-l mailing list. We will be posting an outline of the seminar below, which will be updated and adjusted as we progress. If you want to volunteer a presentation, please contact David Holmes, Arne Smeets or Chris Lazda.
March 9 - Nijmegen
Lectures all take place in Room HG00.068 of the Huygens Building.
|13:00 - 14:00||Andrey Soldatenkov|
|Introduction to the Hausel-Thaddeus conjecture|
|Abstract:||Special Lagrangians and the SYZ fibration, mirror partners via hyperkähler rotations, relationship between Hodge numbers.|
|14:30 - 15:30||Arne Smeets|
|\(p\)-adic integration and point counting|
|Abstract:||\(p\)-adic manifolds, gauge forms and measures, integration, structure of residue discs and relationship with point-counts.|
|References:||[Igu00] §2,7 [Wei82].|
|16:00 - 17:00||Johan Commelin|
|Birational Calabi-Yau varieties have the same Betti numbers|
|Abstract:||The Weil conjectures and the link between point-counting and Betti numbers, Batyrev's proof that birational Calabi-Yau's have equal Betti numbers via \(p\)-adic integration.|
April 13 - Leiden
Lectures all take place in Room 407-409 of the Snellius Building.
May 4 - Amsterdam
Lectures all take place in Room A1.04 at Science Park 904.
May 25 - Utrecht
Lectures all take place in Room MIN 2.02 of the Minnaert Building.
[Bat99] Batyrev - Birational Calabi-Yau \(n\)-folds have equal Betti numbers.
[GWZ17] Grochenig, Wyss, Ziegler - Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration.
[HT03] Hausel, Thaddeus - Mirror symmetry, Langlands duality, and the Hitchin system.
[Igu00] Igusa - An introduction to the Theory of Local Zeta Functions.
[Wei82] Weil - Adeles and Algebraic Groups.