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Is There Geometric Recursion for the Moduli Space of Toric Varieties?

Offered By: IMSA via YouTube

Tags

Moduli Space Courses Mathematical Physics Courses Geometric Invariant Theory Courses

Course Description

Overview

Explore the concept of geometric recursion for the moduli space of toric varieties in this lecture by Ernesto Lupercio from CINVESTAV. Delve into the analogies between quantum toric varieties and traditional geometric recursion cases, covering topics such as modular space, quantum tour, quantum lattice, quantum torus, and quantum CP1. Examine classical and quantum torics, canonical toric stacks, and the parameterization of quantum geometric invariant theory. Investigate LVN menthos, LBM manifolds, toric varieties, group actions, and algorithms related to moduli spaces. Analyze the Gamma complete case, modular spaces of P and L, ultrafilters, standardization, and patterns through examples.

Syllabus

Introduction
Geometric Recursion
Modular Space
Quantum Tour
Quantum Lattice
Quantum Torus
Quantum CP1
Quantum Torics
Classical Torics
Quantum Toric Stack
Canonical Toric Stack
Parameterization
Calibration
Group Action Quotient
Mark Points
Quantum Geometric Invariant Theory
LVN Menthos
LBM Manifold
Toric Varieties
Group Action
Algorithm
Moduli Space
Gamma Complete Case
Modular Space of P
Modular Space of LB
Ultrafilter
Standardization
Example
Patterns


Taught by

IMSA

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