### Monday, 22 October

10:00–11:00 | Masahiko SaitoModuli spaces of parabolic Higgs bundles and parabolic connections on curves and Integrable systems |

11:00–11:20 | Coffee break |

11:20–12:20 | Philippe EyssidieuxOrbifold Kähler groups related to Mapping class groups |

12:30–13:30 | Pranav PanditSpectral Networks |

13:30–15:00 | Lunch |

15:00–16:00 | Alessandra IozziHigher Teichmüller theory and geodesic currents |

16:00–16:20 | Coffee break |

16:20–17:20 | Marc BurgerOn the real spectrum compactification of Higher Teichmüller spaces |

17:30–18:30 | Richard WentworthHarmonic maps, pleated surfaces, and the asymptotic structure of the Hitchin moduli space |

### Tuesday, 23 October

09:30–10:30 | Andras SzenesAn enumerative approach to the \(P=W\) conjecture |

10:30–10:50 | Coffee break |

10:50–11:50 | Tamas HauselIntersection of mirror branes on Higgs moduli spaces |

12:00–13:00 | Alan ThompsonPseudolattices and Homological Mirror Symmetry |

13:00–14:30 | Lunch |

14:30–15:30 | Steven BradlowExotic components of surface group representation varieties and their Higgs bundle avatars |

15:30–16:00 | Coffee break |

16:00–17:00 | Oscar García-PradaArakelov-Milnor inequalities and maximal variations of Hodge structure |

### Wednesday, 24 October

10:00–11:00 | Michael FinkelbergConjectural Higgs branches of Sicilian quantum field theories |

11:00–11:20 | Coffee break |

11:20–12:20 | Hélène EsnaultHiggs bundles and \(F\)-isocrystals |

12:30–13:30 | Helge RuddatSmoothing toroidal crossing varieties |

13:30–15:00 | Lunch |

15:00–16:00 | Bruno KlinglerTame topology and Hodge theory |

16:00–16:20 | Coffee break |

16:20–17:20 | Vadim VologodskyThe Tate construction as a crystal |

17:30–18:30 | Roman BezrukavnikovHitchin fibration and positive characteristic |

19:00– | Conference dinner |

### Thursday, 25 October

10:00–11:00 | Takuro MochizukiPeriodic monopoles and difference modules |

11:00–11:20 | Coffee break |

11:20–12:20 | Artan SheshmaniAtiyah Class and Sheaf counting on local Calabi-Yau fourfolds |

12:30–13:30 | Ben DavisonHigher genus Yangians and Higgs bundles |

13:30–15:00 | Lunch |

15:00–16:00 | Graeme WilkinRepresentations of the Heisenberg algebra on a singular Morse complex |

16:20–17:20 | Thomas SutherlandFrom Higgs bundles to local systems: a (non)abelian perspective |

17:30–18:30 | Samson ShatashviliHiggs Bundles in Physics |

### Friday, 26 October (at Steklov Mathematical Institute)

11:00–12:00 | Carlos SimpsonConstruction 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 LevinHiggs theory and Arakelov geometry |

13:30–14:30 | Georgios DaskalopoulasPluriharmonic maps of infinite energy |

14:30–15:30 | Lunch |

15:30–16:30 | Alexander EfimovCategorical Hitchin system |

16:30–16:50 | Coffee break |

16:50–17:50 | Nikita NekrasovTowards the proof of the NRS conjecture |

18:00– | A. N. Tyurin celebration |

### Saturday, 27 October

10:00–11:00 | Brian CollierConformal limits and stratifications |

11:00–11:20 | Coffee break |

11:20–12:20 | George DimitrovNon-commutative counting invariants and Kanev's construction |

12:30–13:30 | Aleksandar PetkovCenter manifold theory for the Yang–Mills and the Yang–Mills–Higgs flows |

13:30–15:00 | Lunch |

15:00–16:00 | Alexander ThomasPunctual Hilbert schemes and stable Higgs bundles — a new approach to higher Teichmüller theory |

16:00–16:20 | Coffee break |

16:20–17:20 | Vladimir FockHiggs bundles and cotangent bundle to the "new" higher Teichmüller space |