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Topology

Khovanov homology

Author: 
Robin Koytcheff
Janis Lazovskis
Date: 
Thu, Jul 10, 2014
Location: 
PIMS, University of British Columbia
Conference: 
2014 West Coast Algebraic Topology Summer School
Abstract: 

Lecture notes on Khovanov homology.

Duality Notes

Author: 
Dominic Culver
Mitchell Faulk
Date: 
Mon, Jul 7, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

These are notes for the Duality talk presented as part of the West Coast Algebraic Toplogy Summer School.

Verlinde Algebra

Author: 
Lee Cohn
Date: 
Fri, Jul 11, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

Lecture Notes on Verlinde Algebra

WCATSS Problem Set 5

Author: 
WCATSS
Date: 
Fri, Jul 11, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

This is the third problem of the West Coast Algebraic Topology Summer School (WCATSS)

Notes: 

WCATSS Problem Set 4

Author: 
WCATSS
Date: 
Thu, Jul 10, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

This is the third problem of the West Coast Algebraic Topology Summer School (WCATSS)

Notes: 

WCATSS Problem Set 3

Author: 
WCATSS
Date: 
Wed, Jul 9, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

This is the third problem of the West Coast Algebraic Topology Summer School (WCATSS)

WCATSS Problem Set 2

Author: 
WCATSS
Date: 
Wed, Jul 9, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

This is the second problem of the West Coast Algebraic Topology Summer School (WCATSS)

Notes: 

WCATSS Problem Set 1

Author: 
WCATSS
Date: 
Wed, Jul 9, 2014 - Fri, Jul 11, 2014
Location: 
PIMS, University of British Columbia
Conference: 
West Coast Algebraic Topology Summer School
Abstract: 

This is the first problem of the West Coast Algebraic Topology Summer School (WCATSS)

Notes: 

A short elementary survey of Symplectic Topology

Speaker: 
François Lalonde
Date: 
Thu, Apr 4, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Topology Seminar
Abstract: 

Symplectic topology can be thought as the mathematical versant of String theory: they were born independently at the same time, the second one as a fantastic enterprise to unify large-scale and low-scale physics, and the first one to solve classical dynamical problems on periodic orbits of physical problems, the famous Arnold conjectures. In the 80's, Gromov's revolutionary work opened a new perspective by presenting symplectic topology as an almost Kähler geometry (a concept that he defined), and constructing the corresponding theory which is entirely covariant (whereas algebraic geometry is entirely contravariant). A few years later, Floer and Hofer established the bridge between the two interpretations of Symplectic topology, the one as a dynamical theory and the one as a Kähler theory. This bridge was confirmed for the first time by Lalonde-McDuff who related explicitly the first theory to the second by showing that Gromov's Non-Squeezing Theorem is equivalent to Hofer's energy-capacity inequality.


Nowadays, Symplectic Topology is a very vibrant subject, and there is perhaps no other subject that produces new and deep moduli spaces at such a pace ! More recent results will also be presented.

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