Planar Algebra, 25-29 August 2008

Master Class, by Vaughan Jones (University of California, Berkeley)

Poster for the Master Class and the Nielsen Lecture.

Abstract:
Planar algebra is algebra in which operations are indexed by planar diagrams called tangles with inputs being discs in the diagram. We will discuss various notions of planar algebra from the operadic point of view. Relations will appear with knot theory, statistical mechanics, combinatorial group theory, quantum groups and most of all, subfactors. They lead to many different algebraic structures according to the particular planar tangles chosen. Of particular interest recently have been graded algebra structures which give connections with the large N limit of random matrices and free probability. Subfactor planar algebras are rather special in many ways among planar algebras and will receive most attention.

Schedule

From Monday 25 August to Friday 29 August.

The schedule for the Master Class is as follows:
10:00-10:45 Lecture
10:45-11:15 Coffee break
11:15-12:00 Lecture
&
14:00-14:45 Lecture
14:45-15:15 Coffee break
15:15-16:00 Lecture

All lectures take place in Aud. G2, 1st floor, except for Monday, Wednesday and Friday mornings, when they take place in Coll. (Koll.) G, 2nd floor.

Video Recordings

August 25
- Lecture 1 Small size (144M) Larger size (635M)
- Lecture 2 Small size (166M) Larger size (728M)
- Lecture 3 Small size (155M) Larger size (689M)
- Lecture 4 Small size (146M) Larger size (647M)
August 26
- Lecture 1 Small size (169M) Larger size (743M)
- Lecture 2 Small size (136M) Larger size (600M)
- Lecture 3 Small size (144M) Larger size (642M)
- Lecture 4 Small size (187M) Larger size (825M)
August 27
- Lecture 1 Small size (145M) Larger size (642M)
- Lecture 2 Small size (169M) Larger size (745M)
- Lecture 3 Small size (153M) Larger size (677M)
- Lecture 4 Small size (149M) Larger size (655M)
August 28
- Lecture 1 Small size (147M) Larger size (647M)
- Lecture 2 Small size (153M) Larger size (673M)
- Lecture 3 Small size (143M) Larger size (633M)
- Lecture 4 Small size (148M) Larger size (656M)
August 29
- Lecture 1 Small size (164M) Larger size (720M)
- Lecture 2 Small size (137M) Larger size (603M)
- Lecture 3 Small size (162M) Larger size (709M)
- Lecture 4 Small size (111M) Larger size (491M)

Master Class Dinner

The Master Class dinner will take place at Restaurant Le Régal, Noerre Alle 55, 8000 Aarhus C, on Wednesday 27 August at 18:30.

Payment for the dinner: 350 DKK is to be paid in cash to secretary Janne Christensen.

Menu
Starter: Carpaccio of smoked ostrich with toasted pine nuts and marinated rocket salad.
Main course: Beef loin of veal (dijon marinated) with ratatouille from Provence. Served with salted cucumbers and gravy of herbes.
Dessert: Chocolate soufflé with strawberry sorbet and mango coulis.