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On the Spectral Problem of a Three Term Difference Operator

Offered By: IMSA via YouTube

Tags

Mathematical Physics Courses Quantum Mechanics Courses Power Series Courses Recursion Courses Theoretical Mathematics Courses Calabi-Yau Threefold Courses

Course Description

Overview

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.

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

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