Explore the spectral problem of a quantum mechanical operator in this 53-minute lecture by Rinat Kashaev from the University of Geneva. Delve into the quantized mirror curve of the toric (almost) del Pezzo Calabi-Yau threefold, known as local P^2, for complex values of Planck's constant. Examine the TSST Correspondence, recursion methods, normal operators, and power series asymptotics. Investigate Bronski ins, wave functions, and conclude with a final theorem. This advanced mathematics talk, presented at the University of Miami, offers insights into a collaborative work with Sergey Sergeev, providing a deep dive into complex quantum mechanics and algebraic geometry.
On the Spectral Problem of a Three Term Difference Operator
Overview
Syllabus
Introduction
Motivation
TSST Correspondence
Theory
Recursion
Normal Operators
Power Series
Power Series asymptotics
Bronski ins
Wave function
Final transparency
Final theorem
Taught by
IMSA
