Submitted by Anonymous on July 31, 2017 - 6:30pm


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Recording Details

Speaker(s): 
Davide Gaiotto
Scientific Areas: 
Quantum Information,
Quantum Foundations
Collection/Series: 
Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics
PIRSA Number: 
17070066

Abstract

I will discuss the relation between topological field theories and gapped phases of matter. I will propose a general formalism to define a class of TFTs which can be realized by commuting projector Hamiltonians. This allows one to apply rigorous mathematical theorems about TFTs to gapped phases of matter. I will also discuss the role of generalized cohomology theories and spectra in the classification of SPT phases.