Deformation Quantization Courses and Certifications

IMSA

Non-perturbative Deformation Quantization in Kähler Manifolds

Delve into advanced mathematical concepts of non-perturbative deformation quantization, exploring formality theorems, Poisson varieties, and Kähler manifolds with expert Maxim Kontsevich.

• YouTube
• 1 hour
• On-Demand
• Free Video

Conference GSI

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.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Fields Institute

Fedosov Quantization in Positive and Mixed Characteristic

Explore Fedosov quantization techniques extended to positive and mixed characteristic settings in this advanced mathematical physics seminar.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video

Fields Institute

Nonperturbative Deformation Quantization via Quantum Hodge Theory

Delve into advanced mathematical concepts exploring nonperturbative deformation quantization through the lens of quantum Hodge theory, with insights from physics and geometric perspectives.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Perverse Sheaves in Deformation Quantization

Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 1 hour
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

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.

• YouTube
• 42 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

BIMSA

Cartan Geometry and Infinite-Dimensional Kempf-Ness Theory

Explore Cartan geometry and infinite-dimensional Kempf-Ness theory, focusing on novel approaches to generalize concepts to infinite dimensions and applications in Kähler geometry, deformation quantization, and gauge theory.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Holomorphic Floer Theory and Resurgence - Part 1 of 3

Explore holomorphic Floer theory and its connection to resurgence, examining analytic wall-crossing structures and the generalized Riemann-Hilbert correspondence in symplectic topology.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Prague Mathematical Physics Seminar

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.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Dublin Institute for Advanced Studies DIAS

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.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video