Connections Between Representation Theory and Geometry - Winter School

Explore the intricate connections between representation theory and geometry through this comprehensive winter school featuring 14 specialized lectures totaling over 15 hours of advanced mathematical content. Delve into A-infinity structures with Bernhard Keller's three-part introduction, covering foundational concepts and advanced applications in algebraic topology and homological algebra. Master Fukaya categories through James Pascaleff's detailed three-lecture series, examining their role in symplectic geometry and mirror symmetry. Investigate geometric models for bounded derived categories of gentle algebras with Sibylle Schroll's three-part exploration, connecting algebraic structures to geometric interpretations. Discover the mathematical landscape of plumbings and flops with Ivan Smith's specialized lecture on birational geometry. Examine partially wrapped Fukaya categories of symmetric products of marked disks through Gustavo Jasso's focused presentation on symplectic topology. Journey from Hall algebras to Legendrian skein algebras with Fabian Haiden's lecture bridging representation theory and knot theory. Study perverse sheaves and schobers on Riemann surfaces through Tobias Dyckerhoff's examination of derived categories and geometric structures. Explore homological mirror symmetry for complex singularities with Yanki Lekili's specialized lecture on advanced mirror symmetry phenomena. Conclude with Claire Amiot's investigation of skew-gentle algebras and surface orbifolds, connecting algebraic structures to geometric topology. This winter school provides deep insights into cutting-edge research areas where representation theory, algebraic geometry, and symplectic topology intersect.