Events
Department of Mathematics and Statistics
Texas Tech University
We address optimal quasiconformal immersions of surfaces in Euclidean space, with the goal of computing folding-free deformations with prescribed boundary. It is shown that extremal quasiconformal maps between Riemann surfaces can be characterized as critical points of the Dirichlet energy with respect to a certain metric, which leads to an iterative algorithm for the computation of maps which minimize the maximum conformality distortion. These so-called Teichmuller maps are shown to be robust and computable from extrinsic data, with applications to discrete surface deformation as well as remeshing.
Please virtually attend the PDGMP seminar on Wednesday, April 7th at 3 PM via this zoom link.Let $f$ be a polynomial with integer coefficients and consider the
diophantine equation $f(x)=by^l$ for some integers $l, b\geq 1$. If
all the irreducible factors of $f(x)$ are linear then Erd\"os and
Selfridge provided the conditions for the solvability of the above
diophantine equation. For some other polynomials, some results are
also known. In this talk, we consider the above diophantine equation
with $l$ is the largest possible integer so that the equation has
integral solutions in the interval $[1, N]$. For some suitable
polynomial, we provide a non-trivial bound of $l$ in the term of
$N$. In the course of the proof, we introduce a group-theoretic
invariant which is a natural generalization of the Davenport
constant. We provide a non-trivial upper bound of this new
constant. This is joint work with Eshita Mazumdar.
Join Zoom Meeting https://zoom.us/j/96217128540?pwd=NjU5dzE2RjZvV0prejhOOWVjVENadz09
Meeting ID: 962 1712 8540
Passcode: 474170
Details at this pdf
Join us virtually at 4 PM Wednesday (UTC-5) for this week's Applied Math seminar via this zoom linkThe concept of random times does appear in several real world models in the contrast to the Newton time motion usual in classical mechanics. Our aim is to show how a random time will change the behavior of considered systems. We consider two classes of dynamics. At first, random time Markov processes will be analyzed. Secondly, we study random time deterministic dynamical systems which are (in certain sense) special cases of Markov evolution.
Please virtually attend this week's Applied Math seminar via this zoom link on Friday the 9th at 9 AM (UTC-5).