Workshop: Positive Grassmannians - Applications to integrable systems and super Yang-Mills scattering amplitudes

July 27-31, 2015

Program

 

Monday, July 27, 2015

09:00 - 09:25
Registration (Room 5345) and Coffee & Croissants (Room 6245)


Chair : Morning: Marco Bertola / Afternoon: John Harnad
Meeting room(s) : 6254

09:25 - 09:30
Welcoming addresses
09:30 - 10:30
Max Glick
(University of Minnesota)
Y-meshes and generalized pentagram maps
Abstract

Diapos / Slides
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Michael Gekhtman
(University of Notre Dame)
Cluster structure on the Drinfeld double of GL(n)
Abstract
12:00 - 13:00
Michael Shapiro
(Michigan State University)
Integrable systems in cluster algebra theory
Abstract

Diapos / Slides
13:00 - 14:30
Lunch break
14:30 - 15:30
Sergey Fomin
(University of Michigan)
Webs, invariants, and clusters
Abstract
15:30 - 16:00
Coffee break
Room(s) 6245
16:00 - 17:00
Pavlo Pylyavskyy
(University of Minnesota)
Zamolodchikov integrability via rings of invariants
Abstract

17:30 - 19:30
Welcoming Reception
Room(s) 6245

 

Tuesday, July 28, 2015

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Chair : Morning: Michael Gekhtman / Afternoon: Sergey Fomin
Meeting room(s) : 6254

09:30 - 10:30
Rinat Kedem
(University of Illinois at Urbana-Champaign)
Representations of current algebras, CFT characters, and quantum cluster algebras
Abstract
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Philippe R. Di Francesco
(University of Illinois at Urbana-Champaign)
Whittaker functions, cluster algebras and Macdonald difference operators
Abstract
12:00 - 12:15
Photo Session at the entrance of the Aisenstadt building
12:15 - 14:00
Lunch break
14:00 - 15:00
Richard Kenyon
(Brown University)
Double Vandermonde matrices and the spectral transform
Abstract
15:00 - 15:30
Coffee break and Poster Session
Room(s) 6245
15:30 - 16:30
Gregg Musiker
(University of Minnesota)
Combinatorics of toric cascades: Aztec castles and beyond
Abstract

Diapos / Slides

Session - Contributed Talks
Chair : Gregg Musiker
Meeting room(s) : 6254

16:35 - 17:05
Miriam Farber
(MIT)
Arrangements of equal minors in the positive Grassmannian
Abstract
17:10 - 17:40
Alexander Garver
(University of Minnesota)
Lattice properties of oriented exchange graphs
Abstract

Diapos / Slides
17:45 - 18:15
Nicholas Early
(Penn State University)
Symmetry and geometric structure for the Worpitzky identity
Abstract

 

Wednesday, July 29, 2015

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Chair : Morning: Rinat Kedem / Afternoon: Michael Shapiro
Meeting room(s) : 6254

09:30 - 10:30
Lauren K. Williams
(University of California, Berkeley)
Cluster duality and mirror symmetry for Grassmannians
Abstract

Diapos / Slides
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Harold Williams
(The University of Texas at Austin)
Bipartite graphs and microlocal geometry
Abstract

Diapos / Slides
12:00 - 13:00
Andrey Marshakov
(P.N.Lebedev Physics Institute)
Supersymmetric gauge theories and exact conformal blocks
Abstract
13:00 - 14:30
Lunch break
14:30 - 15:30
Andrew Neitzke
(The University of Texas at Austin)
Spectral networks and Grassmannians
Abstract
15:30 - 16:30
Greg Muller
(University of Michigan)
Twists for positroids varieties
Abstract

Diapos / Slides

 

Thursday, July 30, 2015

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Chair : Morning: Andrew Neitzke / Afternoon: Philippe Di Francesco
Meeting room(s) : 6254

09:30 - 10:30
Nima Arkani-Hamed
(Institute for Advanced Study)
The Amplituhedron
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Hugh Thomas
(UQÀM)
Combinatorics of the amplituhedron
Abstract
12:00 - 13:00
Sebastian Franco
(The City College of New York)
New approaches to scattering amplitudes: From on-shell diagrams to the Amplituhedron
Abstract

Diapos / Slides
13:00 - 14:30
Lunch break
14:30 - 15:30
Lionel J. Mason
(University of Oxford)
The twistor action and corralahedra
Abstract

Diapos / Slides
15:30 - 16:00
Coffee break
Room(s) 6245
16:00 - 17:00
Jaroslav Trnka
(California Institute of Technology)
Positive amplitudes In the amplituhedron
Abstract

Diapos / Slides

 

Friday, July 31, 2015

09:00 - 09:30
Coffee & Croissants
Room(s) 6245


Chair : Lauren Williams
Meeting room(s) : 6254

09:30 - 10:30
Yuji Kodama
(The Ohio State University)
Regular triangulations of point sets and solitons in two dimensions
Abstract
10:30 - 11:00
Coffee break
Room(s) 6245
11:00 - 12:00
Simonetta Abenda
(Universita’ di Bologna)
Rational degenerations of M-curves, totally positive Grassmannians and KP-solitons
Abstract
12:00 - 13:00
Panel discussion: Soliton moduli and SYM scattering amplitudes: coincidence or design? - Panel Members: John Harnad (Chair), Michael Gekhtman, Yuji Kodama, Lionel Mason, Lauren Williams, Jaroslav Trnka