The University of Arizona

Short-Range Entangled Phases of Quantum Matter: from the Integer Quantum Hall Effect to K-theory and cobordism

Short-Range Entangled Phases of Quantum Matter: from the Integer Quantum Hall Effect to K-theory and cobordism

Series: Mathematics Colloquium
Location: Math 501
Presenter: Anton Kapustin, California Institute of Technology

Over the last decade, a new area of interaction between theoretical physics and mathematics has emerged: the study of topological insulators, topological superconductors, and other similar phases of quantum matter. One of the early achievements in this area was a complete classification of Short-Range Entangled phases of free fermions based on K-theory. Classical subjects such as the Integer Quantum Hall effect have been reconsidered from this new viewpoint. More recently, the effect of interactions has been studied and a conjecture regarding the classification of interacting Short-Range Entangled phases of quantum matter has been formulated. In this talk, I will review some of these developments focusing on mathematical aspects of the theory.

Refreshments in Math Commons Room at 3:30pm

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