Monday, 22 October
10:00–11:00 | Masahiko Saito Moduli spaces of parabolic Higgs bundles and parabolic connections on curves and Integrable systems |
11:00–11:20 | Coffee break |
11:20–12:20 | Philippe Eyssidieux Orbifold Kähler groups related to Mapping class groups |
12:30–13:30 | Pranav Pandit Spectral Networks |
13:30–15:00 | Lunch |
15:00–16:00 | Alessandra Iozzi Higher Teichmüller theory and geodesic currents |
16:00–16:20 | Coffee break |
16:20–17:20 | Marc Burger On the real spectrum compactification of Higher Teichmüller spaces |
17:30–18:30 | Richard Wentworth Harmonic maps, pleated surfaces, and the asymptotic structure of the Hitchin moduli space |
Tuesday, 23 October
09:30–10:30 | Andras Szenes An enumerative approach to the \(P=W\) conjecture |
10:30–10:50 | Coffee break |
10:50–11:50 | Tamas Hausel Intersection of mirror branes on Higgs moduli spaces |
12:00–13:00 | Alan Thompson Pseudolattices and Homological Mirror Symmetry |
13:00–14:30 | Lunch |
14:30–15:30 | Steven Bradlow Exotic components of surface group representation varieties and their Higgs bundle avatars |
15:30–16:00 | Coffee break |
16:00–17:00 | Oscar García-Prada Arakelov-Milnor inequalities and maximal variations of Hodge structure |
Wednesday, 24 October
10:00–11:00 | Michael Finkelberg Conjectural Higgs branches of Sicilian quantum field theories |
11:00–11:20 | Coffee break |
11:20–12:20 | Hélène Esnault Higgs bundles and \(F\)-isocrystals |
12:30–13:30 | Helge Ruddat Smoothing toroidal crossing varieties |
13:30–15:00 | Lunch |
15:00–16:00 | Bruno Klingler Tame topology and Hodge theory |
16:00–16:20 | Coffee break |
16:20–17:20 | Vadim Vologodsky The Tate construction as a crystal |
17:30–18:30 | Roman Bezrukavnikov Hitchin fibration and positive characteristic |
19:00– | Conference dinner |
Thursday, 25 October
10:00–11:00 | Takuro Mochizuki Periodic monopoles and difference modules |
11:00–11:20 | Coffee break |
11:20–12:20 | Artan Sheshmani Atiyah Class and Sheaf counting on local Calabi-Yau fourfolds |
12:30–13:30 | Ben Davison Higher genus Yangians and Higgs bundles |
13:30–15:00 | Lunch |
15:00–16:00 | Graeme Wilkin Representations of the Heisenberg algebra on a singular Morse complex |
16:20–17:20 | Thomas Sutherland From Higgs bundles to local systems: a (non)abelian perspective |
17:30–18:30 | Samson Shatashvili Higgs Bundles in Physics |
Friday, 26 October (at Steklov Mathematical Institute)
11:00–12:00 | Carlos Simpson Construction of GL Higgs bundles on the moduli of bundles over a genus 2 curve — the even case |
12:00–12:20 | Coffee break |
12:30–13:30 | Andrey Levin Higgs theory and Arakelov geometry |
13:30–14:30 | Georgios Daskalopoulas Pluriharmonic maps of infinite energy |
14:30–15:30 | Lunch |
15:30–16:30 | Alexander Efimov Categorical Hitchin system |
16:30–16:50 | Coffee break |
16:50–17:50 | Nikita Nekrasov Towards the proof of the NRS conjecture |
18:00– | A. N. Tyurin celebration |
Saturday, 27 October
10:00–11:00 | Brian Collier Conformal limits and stratifications |
11:00–11:20 | Coffee break |
11:20–12:20 | George Dimitrov Non-commutative counting invariants and Kanev's construction |
12:30–13:30 | Aleksandar Petkov Center manifold theory for the Yang–Mills and the Yang–Mills–Higgs flows |
13:30–15:00 | Lunch |
15:00–16:00 | Alexander Thomas Punctual Hilbert schemes and stable Higgs bundles — a new approach to higher Teichmüller theory |
16:00–16:20 | Coffee break |
16:20–17:20 | Vladimir Fock Higgs bundles and cotangent bundle to the "new" higher Teichmüller space |