December 3, 2019
1:50PM - 2:50PM
Math Building 105
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2019-12-03 14:50:00
2019-12-03 15:50:00
Quantum Algebra/Quantum Topology Seminar - Qing Zhang
Title: Algebraic questions from topological quantum computation
Speaker: Qing Zhang - Texas A&M University
Abstract: This talk will be devoted to some algebraic problems motivated by the quest for a topological quantum computer. After a review of the classical correspondence between anyon systems and modular tensor categories, I will describe recent progress in the theory of super-modular categories, a class of ribbon fusion categories modeling anyon systems in fermionic topological phases. I will also discuss a construction of braid group representations in iterated twisted tensor products of algebras. This construction unifies and generalizes several categorical constructions of braid group representations from finite groups.
Math Building 105
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2019-12-03 13:50:00
2019-12-03 14:50:00
Quantum Algebra/Quantum Topology Seminar - Qing Zhang
Title: Algebraic questions from topological quantum computation
Speaker: Qing Zhang - Texas A&M University
Abstract: This talk will be devoted to some algebraic problems motivated by the quest for a topological quantum computer. After a review of the classical correspondence between anyon systems and modular tensor categories, I will describe recent progress in the theory of super-modular categories, a class of ribbon fusion categories modeling anyon systems in fermionic topological phases. I will also discuss a construction of braid group representations in iterated twisted tensor products of algebras. This construction unifies and generalizes several categorical constructions of braid group representations from finite groups.
Math Building 105
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Algebraic questions from topological quantum computation
Speaker: Qing Zhang - Texas A&M University
Abstract: This talk will be devoted to some algebraic problems motivated by the quest for a topological quantum computer. After a review of the classical correspondence between anyon systems and modular tensor categories, I will describe recent progress in the theory of super-modular categories, a class of ribbon fusion categories modeling anyon systems in fermionic topological phases. I will also discuss a construction of braid group representations in iterated twisted tensor products of algebras. This construction unifies and generalizes several categorical constructions of braid group representations from finite groups.
