Workshop
To apply for Funding you must register by:  January 01, 2016 almost 8 years ago 

Parent Program:   

Series:  Hot Topic, Hot Topic 
Location:  SLMath: Eisenbud Auditorium, Atrium 
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 Denis Auroux (University of California, Berkeley)
 Christof Geiss (UNAM  Universidad Nacional Autonoma de Mexico)
 Alexander Goncharov (Yale University)
 Mark Gross (University of Cambridge)
 Paul Hacking (University of Massachusetts, Amherst)
 Sean Keel (University of Texas, Austin)
 Andrew Neitzke (Yale University)
 Clelia Pech (University of Kent at Canterbury)
 Linhui Shen (Northwestern University)
 Bernd Siebert (Universität Hamburg)
 Tom Sutherland (University of Lisbon)
 Lauren Williams (Harvard University)
 Harold Williams (University of Texas, Austin)
Cluster algebras were introduced in 2001 by Fomin and Zelevinsky to capture the combinatorics of canonical bases and total positivity in semisimple Lie groups. Since then they have revealed a rich combinatorial and grouptheoretic structure, and have had significant impact beyond these initial subjects, including string theory, algebraic geometry, and mirror symmetry. Recently Gross, Hacking, Keel and Kontsevich released a preprint introducing mirror symmetry techniques into the subject which resolved several longstanding conjectures, including the construction of canonical bases for cluster algebras and positivity of the Laurent phenomenon. This preprint reformulates the basic construction of cluster algebras in terms of scattering diagrams (or wallcrossing structures). This leads to the proofs of the conjectures and to new constructions of elements of cluster algebras. But fundamentally they provide a new tool for thinking about cluster algebras.
The workshop will bring together many of the different users of cluster algebras to achieve a synthesis of these new techniques with many of the different aspects of the subject. There will be lecture series on the new techniques, and other lecture series on connections with Lie theory, quiver representation theory, mirror symmetry, string theory, and stability conditions.
Bibliography (PDF)
Group Photo
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Show Funding
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
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For information about recommended hotels for visits of under 30 days, visit ShortTerm Housing. Questions? Contact coord@slmath.org.
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Mar 28, 2016 Monday 



Mar 29, 2016 Tuesday 


Mar 30, 2016 Wednesday 


Mar 31, 2016 Thursday 


Apr 01, 2016 Friday 
