We meet every Thursday either from 10am to 10:50am at STV 212 or from 1pm to 1:50pm at STV 220.
- February 1, 2007
Speaker: Gaywalee Yamskulna
Talk title: Generating subspaces of vertex operator algebras
Location & Time : STV220 1pm - 1:50pm
- February 8, 2007
Speaker: Fusun Akman
Talk title: Algebraic Deformation Theory
Location & Time: STV 212 10am -10:50am
- February 15, 2007
Speaker: Fusun Akman
Talk title: Algebraic Deformation Theory Part II
Location & Time: STV 212 10am-10:50am
- February 22, 2007
Speaker: Fusun Akman
Talk title: Algebraic Deformation Theory Part III
Location & Time: STV 212 10am-10:50am
- March 22, 2007
Speaker: Gaywalee Yamskulna
Talk title: Orbifold theory of vertex algebras associated with even lattices
Location & Time: STV 212 10am-10:50am
-
March 29, 2007
Speaker: Lucian Ionescu
Talk title: Universal differential forms
Location & Time: STV 212 10am-10:50am
- April 6, 2007 (**** Friday****)
Speaker: David Wright
Talk title: A survey on the Jacobian conjecture.
Location & Time: 3pm-3:50pm
Abstract: The Jacobian Conjecture, which was listed by Steven Smale as problem 16 on his
list of important mathematical problems for the 21st century, was posed in 1939
and has had an illustrious history with many erroneous proofs, the most recent
appearing this year. The conjecture was stated by O. H. Keller in 1939}. Early proofs,
all eventually shown to be incorrect, were given by W. Engel, B.
Segre, and Grobner}. Shafarevich asserted the conjecture as fact, mistakenly
believing it to be obvious. The 2-dimensional problem was discussed in detail
by Abhyankar, who proved that it suffices that for all Jacobian maps
$(F_1,F_2)$ the curves $F_i=0$ have only one (common) point at infinity; he
then show that in fact they have at most two such points. Moh showed there are
no counterexamples to the 2-dimensional where the degrees of $F_1$ and $F_2$
are $\le 100$. Since the early 1980s there have been many interesting
reductions of the problem. Adding to the intrigue are some recent connections
with seemingly unrelated problems, most notably the Dixmier Conjecture.
-
April 12, 2007
Speaker: Lucian Ionescu
Talk title: Kahler differentials
Location & Time: STV 212 10am-10:50am
- April 20, 2007 (Friday)
Speaker: Tony Giaquinto (Loyola University)
Talk title: Diagrams, deformations, and variations of algebras.
Location & Time: STV 311 2pm-2:50pm
Abstract:
The classical Hochschild
cohomology and deformation theories of a single associative algebra can be
globalized to a presheaf, or "diagram", of algebras over an arbitrary small
category. The theory was developed by Gerstenhaber and Schack in the 1980s. One
early application of diagrams of
algebras was to algebraically capture the Kodaira-Spencer theory of deformations
of complex manifolds. More recently, it has been used in the context of algebra
"variations" to explain how rigid algebras (those with no formal deformations)
can appear in a parametrized family of algebras.
- May 1, 2007 (Tuesday)
Speaker: Tony Bedenikovic (Bradley University)
Talk title:
Location & Time: STV 325 1pm-1:50pm