YoVDO

Quadratic Forms in Surface Automorphisms and Singularity Theory

Offered By: IMSA via YouTube

Tags

Singularity Theory Courses Quadratic Forms Courses Monodromy Courses

Course Description

Overview

Explore a 50-minute conference talk on the study of nilpotent parts of pseudo-periodic automorphisms on real oriented surfaces with boundary. Delve into the association of a quadratic form with the first homology group and its applications in singularity theory. Learn about the twist formula and mapping class group theory techniques used to prove the positive definiteness of the form under specific conditions. Examine the case of monodromy automorphisms of Milnor fibers for germs of curves on normal surface singularities. Cover topics including periodic surfaces, classification, correlation numbers, intercession, and semistable reduction in surface singularity theory.

Syllabus

Introduction
Periodic Surfaces
Example
Classification
Correlation
Numbers
Intercession
Main Results
Remarks
Semistable reduction
Surface Singularity


Taught by

IMSA

Related Courses

Extremal Singularities
Joint Mathematics Meetings via YouTube
Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin
International Centre for Theoretical Sciences via YouTube
Spectrum of Singularities
IMSA via YouTube
Surface Quotient Singularities and Big Cotangent Bundle
IMSA via YouTube
Geometry, Topology, Group Actions, and Singularities in the Americas
IMSA via YouTube