Homological Mirror Symmetry - Maxim Kontsevich Pt. III
Offered By: IMSA via YouTube
Course Description
Overview
Explore advanced mathematical concepts in this 58-minute lecture by Maxim Kontsevich from the Institut des Hautes Etudes Scientifiques. Delve into calculations with Getzler-Gauss-Manin connections for non-commutative algebras, examining the effects of inverting elements and the resulting periodic cyclic homology. Investigate meaningful examples including quantum tori, (micro)-differential operators, and noncommutative Laurent polynomials. Progress through topics such as integration cycles, complex numbers, frame maps, quantum periods, and matrix models, gaining insights into algebraic structures and their applications in advanced mathematics.
Syllabus
Intro
Basic facts
Integration Cycles
Complex Numbers
Examples
Frame map
Algebra
Quantum periods
Mysterious example
Simplest example
Algebraicity
Ensembled
Matrix Models
Taught by
IMSA
Related Courses
Mirror Symmetry for Character Varieties and Field Theory by Sergey GalkinInternational Centre for Theoretical Sciences via YouTube Tamas Hausel - Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems
International Mathematical Union via YouTube Homological Mirror Symmetry - Lagrangian SYZ Fibrations
IMSA via YouTube Homological Mirror Symmetry - Nikita Nekrasov
IMSA via YouTube Homological Mirror Symmetry for Log Calabi-Yau Surfaces
IMSA via YouTube