Holomorphic Floer Theory, Quantum Wave Functions and Resurgence
Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.
Homological Mirror Symmetry - Yan Soibelman
Explore holomorphic Floer theory, wall-crossing structures, and their connections to Chern-Simons theory. Discover the interplay between complex symplectic geometry and quantum field theory in this advanced mathematics lecture.
Deformations of Path Algebras of Quivers With Relations
Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
Deformations of Path Algebras of Quivers with Relations
Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
Deformations of Path Algebras of Quivers With Relations - Lecture I
Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
Hodge Theory for Poisson Varieties and Nonperturbative Quantization
Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.
Perverse Sheaves in Deformation Quantization
Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.
A Non-Formal Formula for the Rankin Cohen Deformation Quantization
Explore the Rankin-Cohen deformation quantization, its connections to modular forms and foliations, and discover a new oscillatory integral formula for Zagier's UDF.
From Classical to Quantum Fields on Causal Sets
Explore algebraic classical and quantum field theory on causal sets, focusing on quantisation approaches and the Sorkin-Johnston state for free scalar fields, with potential applications to interacting fields.
BV Quantization of Noncommutative Field Theories
Explore BV quantization techniques for noncommutative field theories with expert Richard Szabo, delving into advanced mathematical physics concepts and their applications.