Floer Homology and Homotopy Theory

Summer school July 10 - 15, 2017
Conference July 17 - 21, 2017

University of California at Los Angeles

 

Overview: The two events will bring together symplectic geometers, low dimensional topologists, and algebraic topologists. The main goal will be to explore the use of homotopy theoretic methods in Floer theory. The summer school will cover background material, aimed at familiarizing students and researchers with the material in each of the three fields.  It will be followed by a research conference.   

Summer school speakers and topics

Anna Marie Bohmann (Vanderbilt) and Carolyn Yarnall (Kentucky): From classical to modern spectra, equivariant stable homotopy theory, and parameterized stable homotopy theory.
Kristen Hendricks (Michigan State): Lagrangian Floer theory, and equivariant Floer homology.
Alexander Kupers (Copenhagen): Topological manifolds.
Jianfeng Lin (MIT): Seiberg-Witten Floer spectra.
Emily Riehl (Johns Hopkins): Homotopy coherent structures.
John Pardon (Princeton): Orbifolds, and virtual classes in Floer theory.
Sucharit Sarkar (UCLA): From flow categories to spectra, and a Khovanov stable homotopy type.

Conference speakers

David Ayala
(Montana State)
Anna Beliakova
(U. Zürich) 
Ralph Cohen
(Stanford) 
Sheel Ganatra
(U. Southern California) 
Kristen Hendricks
(Michigan State)
Ko Honda
(UCLA) 
Xin Jin
(Northwestern) 
Tirasan Khandhawit
(Kavli Institute)
Thomas Kragh
(Uppsala U.) 
Igor Kriz
(U. Michigan) 
Yankı Lekili
(King's College London) 
Tye Lidman
(North Carolina State) 
Francesco Lin
(Princeton)
Jianfeng Lin
(MIT) 
Andrew Lobb
(U. Durham) 
Mike Mandell
(Indiana U.) 
David Nadler
(Berkeley) 
Aaron Royer
(UCLA)
Paul Seidel
(MIT) 
Matthew Stoffregen
(UCLA)
Hiro Tanaka
(Harvard) 
Constantin Teleman
(UC Berkeley / Oxford)
David Treumann
(Boston College)
Michael Willis
(U. Virginia)
Chris Woodward
(Rutgers)
     

Organizers: Mohammed Abouzaid (Columbia), Andrew Blumberg (UT Austin), Mike Hill (UCLA), Tyler Lawson (Minnesota), Robert Lipshitz (Oregon), Ciprian Manolescu (UCLA), and Sucharit Sarkar (UCLA).