Geometry and topology of wild character varieties

Thời gian: Bắt đầu từ 9h30, thứ Sáu, ngày 17 tháng 4 năm 2026

Địa điểm: Hội trường 301, Nhà A5, Viện Toán học

Tóm tắt báo cáo: Wild character varieties parametrize monodromy representations of flat meromorphic connections on compact Riemann surfaces. They are classical objects with remarkable geometric and topological properties. In the past twenty years, new insights from algebraic geometry have led to precise conjectures on the topological structure and complexity of character varieties. I will recall some of these conjectures and sketch a strategy for approaching them. In particular, I will describe recent joint work with Chuang, Diaconescu, Donagi, and Nawata in which we use dualities in geometry and physics to extract cohomological invariants of wild character varieties from enumerative Calabi–Yau geometry and refined Chern–Simons invariants of torus knots.