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Strongly Correlated Topological Phases of Matter: June 5-9, 2017

Organized by: Lukasz Fidkowski, Dan Freed, and Anton Kapustin

Attendee List Download Talk Schedule Videos

Previously, phases of matter were mostly classified based on symmetry principles, or purely on the basis of topological properties. Recent developments however have highlighted the interplay of symmetry and topology as manifested by topological insulators and other symmetry protected topological (SPT) phases, and by symmetry enrichment of topological orders. On the theoretical side, these developments have been achieved by exploiting connections to seemingly unrelated areas of mathematical physics, such as Topological Quantum Field Theory and quantum information science, as well as to algebraic topology. The SPT phases are in fact more manageable than general topological orders, and one can hope to give a complete classification of these phases in all dimensions and for all symmetry groups. For free fermionic phases, such classification has been achieved in the works of Schnyder, Ryu, Furusaki, Ludwig, and Kitaev, while in the interacting case it has been proposed that SRE phases can be classified by invertible equivariant TQFTs, or equivalently by homotopy classes of maps of certain spectra (in the sense of algebraic topology).

Despite this progress, mathematically rigorous definitions of a gapped phase and related concepts remains elusive. This workshop, situated at the crossroads of physics and mathematics, will bring together researchers in condensed matter physics, algebraic topology, and quantum information theory to address these issues. It will include both pedagogical lectures by experts in respective fields and research talks on recent developments. Please note that there will also be a mini course held from May 30 – June 2. If you are interested attending the mini course please fill out the program application.

Talk Schedule


Time Title Presenter Location
9:30am A classification of 3+1D topological orders Xiao-Gang Wen SCGP 102
10:30am N/A Break SCGP Lobby
11:00am N/A Meng Cheng SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm Reconstructing chiral CFTs/VOAs from 2D TQFTs/MTCs Zhenghan Wang SCGP 102
3:30pm Tea N/A
4:00pm Differential topology of semimetals Mathai Varghese SCGP 102

Time Title Presenter Location
9:30am N/A Nathan Seiberg SCGP 102
10:30am N/A Break SCGP Lobby
11:00am Domain Walls, Anomalies, and Deconfinement in Yang-Mills Theory and in the Neel-VBS Transition Zohar Komargodski SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm Low-dimensional G-bordism and G-modular TQFTs Kevin Walker SCGP 102
3:30pm Tea N/A
4:00pm Fermion Condensation and Superconducting String-nets Dave Aasen SCGP 102

Time Title Presenter Location
9:30am N/A Fiona Burnell SCGP 102
10:30am N/A Break SCGP Lobby
11:00am Gauging spatial symmetries and the classification of topological crystalline phases Dominic Else SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm A topological world: From topological phases of quantum matter to the origin of elementary particles. Zheng-Cheng Gu SCGP 102
3:30pm Tea N/A
4:00pm Two stories of exact self-duality and criticality in 2+1 dimensions Lesik Motrunich SCGP 102

Time Title Presenter Location
9:30am Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2 Dima Feldman SCGP 102
10:30am N/A Break SCGP Lobby
11:00am Lieb-Schultz-Mattis theorems for symmetry-protected topological phases Yuan-Ming Lu SCGP 102
12:00pm Lunch N/A SCGP Cafe
2:15pm Reflection and time reversal symmetry enriched topological phases of matter Maissam Barkeshli SCGP 102
3:30pm Tea N/A
4:00pm Turaev-Viro Construction of (2+1)D Unoriented TQFTs Lakshya Bhardwaj SCGP 102

Time Title Presenter Location
9:30am Verlinde ring for non-connected Lie groups and gauging finite group symmetries Valentin Zakherevich SCGP 102
10:30am N/A Break SCGP Lobby
11:00am Title: Time-reversal in topological semimetals Guo Chuan Thiang SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm Elements of Kasparov’s K-Theory for Correlated and Disordered Systems Emil Prodan SCGP 102
3:30pm Tea N/A


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