Seminar Schedule
March 6 – March 10, 2006
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY, March 6, 2006
VIGRE-Algebraic Geometry
2:00pm, Room 304
Topology/Geometry
2:30pm Room 222
Speaker: Emily Hamilton (Emory)
Title: Iso-length spectral arithmetic hyperbolic 3-manifolds
Abstract: Let M be an orientable hyperbolic 3-manifold of finite
volume.
The length spectrum of M is the collection of all lengths of closed geodesics
in M counted with their multiplicities. The complex length spectrum of M is
the collection of all complex lengths of closed geodesics in M counted with
their multiplicities. Two orientable hyperbolic 3-manifolds of finite volume
are called iso-length spectral (resp. complex iso-length spectral) if their
length spectra (resp. complex length spectra) are identical. It is known that
if M_1 and M_2 are complex iso-length spectral arithmetic hyperbolic 3-manifolds,
then they are commensurable. We show that if M_1 and M_2 are iso-length spectral
arithmetic hyperbolic 3-manifolds, then M_1 and M_2 are commensurable.
3:45 Boyd 222
Speaker: Chris Leininger (UIUC)
Title: Pseudo-Anosov dilatations and algebra
Abstract: The dilatation of a pseudo-Anosov homeomorphism F
of a closed surface S_g of genus g is a basic measure of its dynamical complexity.
Penner proved that if one allows g to tend to infinity, then the logarithm of
the smallest possible dilatation of such a homeomorphism tends to zero on the
order of 1/g. I'll discuss joint work with Benson Farb and Dan Margalit that
describes how this type of behavior is prohibited if one imposes certain algebraic
restrictions. As the simplest example, we prove that if F acts trivially on
homology, then the logarithm of its dilatation is bounded below by .098 (independent
of g). I'll also describe how this is sharply contrasted when one considers
a natural measure of topological complexity.
Algebra
2:30pm, Room 410
Speaker: Bobbe Cooper, University of Georgia
Title of talk: Support Varieties for Tilting Modules
Abstract: Let $G$ be a reductive algebraic group of type A_n
over an algebraically closed field $k$ of characteristic $p>0$, with Frobenius
kernel $G_1$. The tilting modules of $G$ are defined as modules for which both
the module itself and its dual have good filtrations. In this talk, the support
varieties of these modules over $G_1$ will be calculated. This calculation (probably)
confirms for type A_n Humphrey's conjecture for the supports of tilting modules.
Faculty and Graduate Student Social
3:00pm, Room 409
Coffee, Cookies, Tea
TUESDAY, March 7, 2006
VIGRE-Graduate
Student Seminar
2:00p.m., Room 304
Speaker: Emille Davie, University of Georgia
Title of talk: TBA
WEDNESDAY, March 8, 2006
VIGRE Site Visit
8:00am-4:15pm
Geometry in the Curriculum Seminar
1:25pm, Aderhold, Room 111
Speakers: Tom Banchoff and Clint McCrory, University of Georgia
Title of talk: Plans for the workshop "Geometry Across
the Curriculum" on March 25 at the Georgia Center
Algebraic Geometry
2:30pm, Room 302
No meeting this week
VIGRE- Algebra
2:30pm, Room 303
No meeting this week
Faculty and Graduate Student Social
3:15pm, Room 409
Cookies, Coffee, Tea
Arithmetic Geometry/Number Theory
4:00pm, Room 304
Speaker: Robert Rumely, University of Georgia
Title of talk: Multi-resultants and the Fekete-Leja Transfinite
Diameter, continued
THURSDAY, March 9, 2006
VIGRE – Feynman Diagrams
2:00pm, Room 326
VIGRE – Cardiac Physiology
2:00pm, Room 640
VIGRE- Zeta Functions
2:15pm, Room 302
VIGRE-Algebraic Geometry
2:00pm, Room 304
FRIDAY, March 10, 2006
Probability Theory
2:30-3:30pm, Room 303
Speaker: L. Yu, University of Georgia
Title of talk: Piecewise non-linear filter (cont.)