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Center of Mathematics at Notre Dame, May 29 - June 2, 2012

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

Center of Mathematics at Notre Dame, June 4 - June 8, 2012

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

Deformations with noncommutative parameters

Jacob 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