# Quantum mathematics meeting

## Upcoming events

03

May

2019

3–4.30pm 3 May 2019

John Hutchinson (ANU)

Quantum Theory & Quantum Computation Seminar

## Past events

24

Feb

2017

### Statistical mechanics of Levin-Wen models, continued »

Corey Jones will describe the Levin-Wen model, constructing a local lattice Hamiltonian from a fusion category, and explain why we should study its statistical mechanical properties.

17

Feb

2017

### Statistical mechanics of Levin-Wen models »

We'll begin the year of quantum mathematics meetings with a talk by Corey Jones on the Levin-Wen model.

09

Dec

2016

### The many faces of the Alexander polynomial »

The Alexander polynomial is perhaps the knot invariant that has the greatest number of distinct definitions.

21

Oct

2016

### Operator algebras ... in tensor categories? »

Corey will give an overview of why operator algebras are interesting, aimed at an algebraically-minded audience.

30

Sep

2016

### Cyclic sieving »

Tony will intrroduce the idea of cyclic sieving, and then we'll all try to work out what connection there is, if any, to tensor categories.

23

Sep

2016

### Categories enriched in braided tensor categories »

I'll recap last week (I know there will be several participants who missed it), perhaps sketch the classification theorem, or more likely talk about examples.

02

Sep

2016

### Categories enriched in braided tensor categories »

There seems to be an interesting gap in the literature on enriched categories.

12

Aug

2016

### Higher Frobenius-Schur indicators and eigenvalues of rotation in pivotal tensor categories, part 2 »

We'll discuss the notion of higher Frobenius-Schur indicators in pivotal fusion categories, why they're important, and how to compute them using only a small amount of data from the center of the category.

05

Aug

2016

### Higher Frobenius-Schur indicators and eigenvalues of rotation in pivotal tensor categories »

We'll discuss the notion of higher Frobenius-Schur indicators in pivotal fusion categories, why they're important, and how to compute them using only a small amount of data from the center of the category.

22

Jul

2016

### Khovanov homotopy types »

Khovanov homology conventionally associates to a link a chain complex, whose homology is an invariant of the link.

06

May

2016

### The Brauer-Picard groupoids of the ADE fusion categories »

Cain will talk about work in progress on understanding the Brauer-Picard groupoids of the ADE fusion categories.

29

Apr

2016

### Functoriality for Khovanov homology »

Stephen will talk about work in progress on variants of Khovanov homology, which may afford an integral theory which is functorial in $S^3$.

22

Apr

2016

### Free probability and skew symmetric functions »

Tony will tell us about free probability, Khovanov's categorification of the Heisenberg algebra, and skew symmetric functions.

08

Apr

2016

### Modular tensor categories 2 »

We'll continuing discussing what modular tensor categories are and how they are related to other notions in category theory and condensed matter physics.

01

Apr

2016

### Modular tensor categories »

I'll begin describing what modular tensor categories are, and how they are related to other notions in category theory and condensed matter physics.