The second Kent Regional Algebra Weekend
will be held on the afternoon of Saturday April 16 and the morning
of Sunday April 17, 2011.
This meeting will bring together researchers in algebra from various
colleges and
universities in Ohio and neighboring states.
There will be eight 50minute talks
that will appeal to a broad
spectrum of algebraists.
Talks will be held in
room 228 of the Mathematical Sciences Building on the
Kent campus of Kent
State University.
If you plan to attend the meeting, please
register with us beforehand.
There is no registration fee for the conference, but
we would like an approximate headcount prior to the meeting.


PICTURES!!
List of speakers
Directions and Parking
Housing
Organizing committee
Sponsors
Schedule
Registration
Food near Kent
Food near Microtel
KRAW 2006

List of confirmed speakers
 Harald Ellers,
Allegheny College
The centralizer of a subgroup in a group algebra
 Jonathan Hall, Michigan State University
Title: Triality: algebraic, geometric, and group theoretic
Abstract: Alternative division algebras arose
naturally in Cartan's 1925 work on the
automorphisms of Lie groups of type $D_4$
and in Moufang's 1935 work on projective planes
satisfying the ``Little'' Theorem of Desargues.
These original examples of trialityin,
respectively, algebraic, group theoretic, and
geometric contextshave broad generalizations,
which are essentially the same in a
categorical setting.
 Kiumars Kaveh,
University of Pittsburgh
Title:: Convex bodies and algebraic varieties
Abstract: We discuss a new connection between algebraic
geometry and convex geometry. We explain a basic construction which
associates convex bodies to semigroups of integral points. We see how this
gives rise to convex bodies associated to algebraic varieties encoding
information about their geometry. This far generalizes the notion of
Newton polytope of a Laurent polynomial/toric variety. As an application,
we give a formula for the number of solutions of an algebraic system of
equations on any variety, in terms of volumes of these bodies, far
generalizing the wellknown BernsteinKushnirenko theorem. This has many
interesting applications in algebraic geometry, in particular theory of
linear systems. For the most part, the talk should be accessible to
anybody with some background in algebra and geometry. There are many
interesting problems in this area yet to be addressed.
 WenFong Ke,
National Cheng Kung University, Taiwan
Block Intersection Numbers of Certain Block Designs
 Leonid MakarLimanov,
Wayne State University
The Freiheitssatz for Poisson Algebras
Abstract: In my talk I remind what is the Freiheitssatz type theorem, recall in which situations FT is proved,
outline the recent proof (with Umirbaev) of FT for Poisson algebras, and state some open problems related to FT.
 Sergio LopezPermouth,
Ohio University
Title: Measuring modules: alternative perspectives in module theory
Abstract: We will consider various new ways to gauge the projectivity or injectivity
of modules.
As an illustration of the usefulness of these new approaches, we will focus on modules which
are weakest in terms of projectivity or injectivity. We will show how the related notions are interesting in their own right.
 Silvia Onofrei,
The Ohio State University
Saturated fusion systems with parabolic families
 Edmund Puczylowski,
University of Warsaw
On the Linear Properties of the Goldie Dimension
Abstract: The Goldie dimension of a module M is defined as the supremum of all cardinalities lambda such that M contains the direct sum of lambda nonzero submodules. This gives
a generalization of the linear dimension from linear spaces to modules. The linear dimension can be characterized in several other ways and thanks of that it is so
useful tool in many studies. In that context it is natural to ask which (or how far) the fundamental properties of the linear dimension can be extended to the Goldie
dimension. Problems of that sort were studied in many papers. The aim of the talk is to present some old and new results concerning that topic.
 James Wilson,
The Ohio State University
Title: Tools to Tame the Tensor
Abstract: Bilinear maps lurk behind many problems for groups and algebras. They
are present when considering the multiplication of a ring or
nonassociative algebra, they define the action on a module, the
classical groups are described by bilinear forms, and in more subtle
ways the commutation in a nilpotent group is encoded by bilinear maps.
At first glance, the only tool for working with bilinear maps is the
tensor product, and little else is considered in the world of algebra.
In this talk we will introduce various tools with roots in analysis that
are ideally suited to answer problems about bilinear maps in general.
In effect, there is more than one natural tensor. These techniques
answer problems for groups, rings, and algebras that were once thought
to be quite difficult. We organize the talk around a tour of these
tools. To do this we focus on a case study from group theory: to
completely describe the automorphisms of relativelyfree groups of an
arbitrary group variety satisfying the laws [x,y,z] and x^p, though
no serious group theory will be necessary to understand the talk.
Talks will be held in
228
Mathematical Sciences Building.


Directions and Parking
For directions outside of campus, visit our
Maps
and Directions page.
Within the Kent
campus, proceed east on Summit street past the Michael Schwartz
Center and the Student
Center. Our building is on the left and is identifiable by the sine
wave roof. On the
Kent State
University map look up Mathematics and Computer Science Building.
Parking will be free for conference participants
in the lot at the Mathematical Sciences
Building. This is lot R5 on the campus
parking map.
Update: You will NOT need a parking pass to park on the Algebra Weekend.



Housing
We have reserved a block of rooms at
the
Microtel
in Streetsboro, 9371 State Route 14, Streetsboro, OH
(330) 4221234. Streetsboro is about
6 miles from Kent.
The conference rate will be $49.95 per night, plus tax.
Make your reservation with the Microtel directly by calling
(330) 4221234. Tell them you are with the Kent Regional Algebra Conference (KRAW).
Please contact one of organizers
if you encounter any trouble making your reservation.


