Workshop on W-algebras

rt.representation-theory
Start Date
2016-11-28 
End Date
2016-12-02 
Institution
University of Melbourne 
City
Melbourne, Victoria 
Country
Australia 
Meeting Type
workshop 
Homepage
https://sites.google.com/site/ausreptheory/workshop2016 
Contact Name
Peter McNamara, Arun Ram, Oded Yacobi 
Created
 
Modified
 

Description

Overview: Our goal is to bring together postgraduate students, postdoctoral researchers, and faculty to participate in a week-long intensive exploration of W-algebras and related geometric and representation theoretic topics.

The workshop will be led by Tomoyuki Arakawa and Anne Moreau, renown experts in this area. The format is roughly "Talbot Style". This means that the mentors and organisers will design a series of 15-20 lectures. Several of these lectures will be given by the mentors and other experts in attendance, but the majority of talks will be given by the participants. There will also be problem sessions and time for casual discussion among the participants.

Agenda:

Day 1: Overview of theory and the goals of the workshop.  Introduction to affine Lie algebras, and their representations.
Day 2: Vertex algebras and Zhu functors, Zhu's C2 algebra and the canonical filtration.
Days 3/4: BRST cohomology, quantum Hamiltonian reduction, finite and affine W-algebras
Days 4/5: Current topics such as rationality of W-algebras, the geometry of jet schemes, and chiral differential operators on groups.  

A syllabus with bibliography will be posted here soon.

Funding: There will be limited funding available for travel and accommodations for participants; the amount of funding will depend on how many people register. We do not expect to be able to fund travel for participants from outside Australia.

Registration: Send an email to Oded Yacobi ([email protected]) by July 30 with the following information

Name 
University affiliation and status (postgraduate student, postdoc, etc...)
Research Interests and any other comments you may have.  In particular let us know if you are requesting funding, and specifically how much you require.  

The workshop aims to gather participants from wide background and all graduate educational levels, so applicants need not be experts in the field. We are also committed to promoting diversity in mathematics, so we especially encourage women and minorities to apply.

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