The Hebrew University of Jerusalem
Welcome to the Einstein Institute of Mathematics
The Eighth Amitsur Memorial Symposium
You are invited to the 8th Amitsur Memorial Symposium, which
will take place on Tuesday, June 25, 2002 (15 Tamuz, 5762), at the
Einstein Institute of Mathematics of the Hebrew University.
There will be six lectures, each
lasting for 45-50 minutes, followed by a few minutes for discussion.
The talks will be held at lecture hall 2 of the department of mathematics
The symposium will end with a reception for all the participants.
For more information please contact Prof. Avinoam Mann,
email: mann at vms.huji.ac.il
9:30 - Gathering
10:00 - A. Wigderson:
Expander graphs - where combinatorics and algebra
compete and cooperate. Abstract
11:00 - Coffee break.
On some two-relator groups with solvable word and conjugacy
A. Joseph: The injectivity of the Conze embedding.
13:30 - Lunch break (lunch at Beit Belgia will be free of charge).
M. Larsen: Irrational motivic zeta functions.
P. Scott: Splittings of groups and manifolds.
17:00 - Coffee break.
17:30 - R. Adin:
A unified construction of Weyl group representations
(Joint work with F. Brenti and Y.Roichman).
18:30 - Reception at the faculty lounge.
Everybody is welcome!
Here are abstracts for some of the talks:
- A. Wigderson:
Expander graphs - where Combinatorics and Algebra compete and cooperate
- Expansion of graphs can be given equivalent definitions in
combinatorial and algebraic terms. This is the most basic connection
between combinatorics and algebra illuminated by expanders and the
quest to construct them. The talk will survey how fertile this
connection has been to both fields, focusing on recent results.
- A. Joseph:
The injectivity of the Conze embedding
- The Conze embedding defines a homomorphism of the enveloping algebra
U(g) of a semisimple Lie algebra g into the algebra A of polynomial
valued differential operators on the open Bruhat cell defined relative
to a parabolic subalgebra. Moreover A admits a natural filtration defined
by the degree of the polynomials. It is shown that gr A is an injective g
module in an appropriate category. This determines multiplicities in each
filtration step of the image of U(g), which in turn has significant
applications to the calculation of the Parthasarathy-Ranga Rao-Varadarajan
determinants and to the study of the Brylinski-Kostant filtration defined
on simple finite dimensional U(g) modules.
- P. Scott:
Splittings of groups and manifolds
- This talk will be a survey of that part of group theory which is to do
with understanding amalgamated free products of groups. This area has
strong connections with topology. The subject started with the realisation
by Hopf that the topological idea of the number of ends of a space could
be used to define the number of ends of a group. The first big result was
Stallings' structure theorem for groups with more than one end.
Interestingly, Stallings says that his result and the arguments were
motivated by results in 3-dimensional topology. Since then the subject has
developed a great deal, and the connections between topology and group
theory have become even stronger.
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Naavah Levin, email: naavah at math.huji.ac.il
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Last updated: June 18th, 2002