Sergei Gukov (California Institute of Technology)
Quantization and categorification
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Andre Henriques (University of Utrecht, Netherlands) Extended Conformal Field Theories from Frobenius Algebras Lecture 1 Lecture 2 Lecture 3 Lecture 4
Jacob Lurie (Harvard University) Finiteness and Ambidexterity in K(n)-local stable homotopy theory Lecture 1 Lecture 2 Lecture 3 Lecture 4
Chris Schommer-Pries (Massachusetts Institute of Technology) Dualizability in Low Dimensional Higher Category Theory Lecture 1 Lecture 2 Lecture 3 Lecture 4
David Ayala (Harvard University) Higher categories are sheaves on manifolds
Daniel Berwick-Evans (University of California - Berkeley) Spaces of field theories and the topology of manifolds
Ulrich Bunke (University of Regensburg, Germany) Bordism, K-theory and eta invariants
Kevin Costello (Northwestern University) Supersymmetric gauge theory and derived geometry Lecture 1: Classical field theories in the BV formalism Lecture 2: Supersymmetry and twisting; description of minimally twisted supersymmetric gauge theories Lecture 3: Supersymmetric gauge theory and the Yangian
Ryan Grady (University of Notre Dame) Observables and the Algebraic Index Theorem
Sergei Gukov (California Institute of Technology) What A-polynomial knows about Khovanov homology
Andre Henriques (University of Utrecht, Netherlands) The Square Root of a Modular Tensor Category
Joseph Hirsh (City University of New York) Deformations with noncommutative parametersJacob Lurie (Harvard University) Loop Spaces, p-Divisible Groups, and Character Theory
Dmitri Pavlov (University of Muenster) Differential cohomology and smooth topological field theories
Kate Poirier (University of California - Berkeley) Compactifying String Topology
Daniel Pomerleano (University of California - Berkeley) Curved String Topology and Fukaya Categories
Arturo Prat-Waldron (Max-Planck-Institut fuer Mathematik, Bonn, Germany) On the Construction of the Dirac Operator via Geometric Quantization of Supermanifolds
Chris Schommer-Pries (Massachusetts Institute of Technology) The unicity of the homotopy theory of higher categories
Dennis Sullivan (CUNY and SUNY Stony Brook) Some solved and unsolved puzzles in the FRG's focus on 2D field theories
Scott Wilson (City University of New York) Chern-Simons forms, Free Loop Spaces, and K-theory