Seminar Schedule
September 4 - September 8, 2006
All Seminars are held in Boyd Graduate Studies Bldg. unless otherwise noted.
MONDAY, September 4, 2006
Labor Day Holiday
TUESDAY, September 5, 2006
VIGRE
Graduate Student Seminar
2:00pm, Room 302
Speaker: Joe Rusinko, University of Georgia
Title of talk: TBA
Analysis
3:30pm, Room 222
Speaker: Jingzhi Tie, University of Georgia
Title of talk: Sub-Riemannian Geometry on the Heisenberg
group and Engel Field.
WEDNESDAY, September 6, 2006
Algebraic Geometry
2:30pm, Room 410
Speaker: Joe Rusinko, University of Georgia
Title of talk: Combinitorial Construction of Mirror Families
Abstract: Alexeev and Brion have constructed many different
degenerations of the full flag variety to a toric pair corresponding to a certain
polytope. For a fixed flag variety, Alexeev and Brion's degenerations can be
related by a sequence of braid moves. We will discuss how these braid moves
effect the corresponding polytopes.
Generic anti-canonical hypersurfaces in the flag varietiy are smooth Calabi-Yau
varieites. For any Alexeev and Brion degeneration we construct a family of varieties
mirror to the anti-canonical hypersurfaces in the flag varietiy. By using the
combinatorics of the polytopes we construct birational maps between the elements
of the mirror families. This shows that the construction of mirror families
is independent of the choice of Alexeev and Brion degeneration.
Faculty and Graduate Social
3:00pm, Room 409
Coffee, Tea, Cookies
Arithmetic Geometry/Number Theory
3:30pm, Room 304
Speaker: Pete Clark, University of Georgia
Title of talk: An attempt at a parallel introduction to
(some) quaternionic Shimura curves., continued
THURSDAY, September 7, 2006
Wavelets and Splines
2:30pm, Room 524
Speaker: Ming-Jun Lai, University of Georgia
Title of talk: Convergence of L1 spline methods.
Abstract: When we use the L1 spline methods for scattered data
interpolation and fitting, the spline surfaces will resemble the surfaces of
any given data values.
VIGRE-Algebraic Geometry
2:00pm, Room 326
FRIDAY, September 8, 2006
Probability Theory
2:30pm, Room 323
Speaker: C Zhuang, University of Georgia
Title of talk: Verification theorems within the framework
of viscosity solutions
Geometry
2:30pm, Room 410
Speaker: Joe Fu, University of Georgia
Title of talk: Convolution of convex valuations (joint
work with Andreas Bernig)
Abstract: A convex valuation is a (continuous) finitely additive
functional on the space of all compact convex bodies in a finite dimensional
real vector space V. S. Alesker has introduced an array of algebraic operations
on the (infinite-dimensional) space Val(V) of all convex valuations on V, including
a natural product and an involution. Thinking of the involution as analogous
to the Fourier transform, it is natural to inquire into the nature of the "convolution"
obtained by intertwining it with the product. It turns out that the convolution
may be naturally understood in terms of the Minkowski sum of convex sets. We
also give an application to integral geometry.
VIGRE-Algebra
2:30pm, Room 304