Events

Topic: Folds, Intersections, and Inflections:  Distinguishing Cylinders from Moebius Bands Abstract: On a smooth or polyhedral surface a strip neighborhood of a closed curve is either an orientable cylinder or a non-orientable Moebius band.  How can we distinguish which form it has by observing singular fold chains for projections to planes or self-intersection curves of

MINIMIZATION METHODS AND EXISTENCE OF SOLUTIONS FOR NONLINEAR DIFFERENTIAL EQUATIONS The purpose of this lecture is to demonstrate the power of variational methods in the study of nonlinear partial differential equations to people working in other field of mathematics. The equations considered here are variational, namely there is an energy functional ˆ defined on certain Sobolev spaces, whose

The University of Alabama Graduate School is hosting its 29th annual Graduate Teaching Assistant Workshop on Aug. 13 and 14 from 8:00 am until 3:15 pm. The workshop will take place in the Bryant Conference Center for roughly 300 new graduate teaching assistants.

Topic: Some harmonic analysis in mixed Lebesgue spaces Abstract: Mixed Lebesgue spaces have attracted interests in harmonic analysis since the early 60's. These spaces naturally appear when considering functions with different quantitative behavior on different sets of variables on which they depend. For example, this is the case when considering functions with physical relevance and that depend on both

Entropy Satisfying Numerical Methods for Fokker-Planck-type Equations Kinetic Fokker-Planck equations arise in many applications, and thus there has been considerable interest in the development of accurate numerical methods to solve them. The peculiar feature of these models is that the transient solution converges to certain equilibrium when time becomes large. For the numerical method to

“The bread and butter of first semester calculus are optimization problems. In this talk we will start with a classic example: given a rectangular sheet of metal/paper/cardboard, cut equal size squares from each corner so that the sides can be folded up to make an open top box. Given the dimensions of the original rectangle,

WEAK PRODUCTS, HANKEL OPERATORS, AND INVARIANT SUBSPACES When studying the Hardy space of analytic functions on a region, it is natural to view it as part of the family of Hp-spaces, and investigate how properties of the functions and operators on these spaces change as the parameter p changes. For reproducing kernel Hilbert spaces like the