Summer School 1-5 August

By Ekholm & Reshetikhin

2016.07.06 | Christine Dilling

Date Mon 01 Aug Fri 05 Aug
Time 10:00    16:15
Location Aud. D4

Knot contact homology, Chern-Simons theory and topological string theory by Tobias Ekholm (Uppsala University)

An introduction to the basic concepts from contact topology. In particular we will define knot contact homology which is the Legendrian differential graded algebra of the unit conormal lift of a knot. We will mention how a non-commutative version of the Legendrian DGA with a pair-of-pants like product actually determines the knot class completely. We also introduce basic results from physics relating topological string and gauge theories. We show how - after large N-transition - the augmentation variety of knot contact homology determines the Gromov-Witten disk potential of the Lagrangian conormal after large N transition. We will outline a program for calculating higher genus amplitudes via a generalization of Legendrian contact homology, Legendrian Symplectic Field Theory. The program in particular involves topological recursion at infinity which determines higher genus amplitudes from refined disk amplitudes at infinity.

Introduction to BV-BFV quantization by Nicolai Reshetikhin (UC Berkeley)

A brief recollection of facts about graded supermanifolds and BV integrals. Then the basic framework for BV_BFV quantization of gauge theories on space time with boundary will be introduced. After this we will focus on an example of topological quantum filed theory on cell complexes: the discrete abelian BF theory. If time permits we will also discuss perturbative quantization of Poisson sigma model. This session is a sequel to last year’s masterclass on BV quantization. 

Download poster (PDF)

Registration
If you wish to participate in the Summer School please send an e-mail to qgm@au.dk, incl. the following information:

- Do you wish to participate in the special dinner 2 August at 6pm
- Do you have any dietary restrictions? 

 

Participants

Andersen, Jørgen E. (AU)   
Asplund, Johan (Uppsala University)
Chekhov, Leonid (Loughborough University)
Huang, Yang (AU) 
Masbaum, Gregor (Institut de Mathématiques de Jussieu)
Nawata, Satoshi (AU)
Petersen, William (AU)
Rasmussen, Kenneth (AU)
Rocén, Andreas (Uppsala University) 

Preliminary shedule

Monday 1 August
10:00-10:45 Legendrian contact homology and background results from physics (by Ekholm)
11:00-11:45 Legendrian contact homology and background results from physics (by Ekholm)
12:00-13:30 LUNCH
13:30-14:15 Lecture by Reshetikhin
14:30-15:15 Lecture by Reshetikhin
15:30-16:15 Q's & A's   

Tuesday 2 August
10:00-10:45 The Gromov-Witten disk potential and the augmentation variety (by Ekholm)
11:00-11:45 The Gromov-Witten disk potential and the augmentation variety (by Ekholm)
12:00-13:30 LUNCH
13:30-14:15 Lecture by Reshetikhin
14:30-15:15 Lecture by Reshetikhin
15:30-16:15 Q's & A's  
18:00-22:00 Special dinner at “Den Rustikke” in the city centre (address Mejlgade 20, 8000 Aarhus)

Wednesday 3 August
10:00-10:45 Higher genus amplitudes, Legendrian SFT, and topological recursion (by Ekholm)
11:00-11:45 Higher genus amplitudes, Legendrian SFT, and topological recursion (by Ekholm)
12:00-13:30 LUNCH
13:30-14:30 Geometric viewpoint on topological recursion, seminar by Maxim Kontsevich
14:45-15:30 Discussion

Thursday 4 August
10:00-10:45 Lecture by Reshetikhin 
11:00-11:45 Lecture by Reshetikhin 
12:00-13:30 LUNCH
13:30-14:15 Lecture by Reshetikhin
14:30-15:15 Lecture by Reshetikhin 
15:30-16:15 Q's & A's  

Friday 5 August
10:00-10:45 Lecture by Reshetikhin 
11:00-11:45 Lecture by Reshetikhin 
12:00-13:30 LUNCH
13:30-14:15 Lecture by Reshetikhin 
14:30-15:15 Lecture by Reshetikhin 
15:30-16:15 Q's & A's

 

 

 

Workshop