In 1955, Serre conjectured that every row vector with entries in a commutative polynomial ring R=k over a field k, admitting a right inverse over R, could be completed into a square matrix whose determinant is 1. That conjecture was independently proved by Quillen and Suslin in 1976 and is nowadays called the Quillen-Suslin theorem.…
We introduce the notion of p-ellipticity of a complex matrix function and discuss basic examples where it plays a major role, as well as the techniques that led to the introduction of the notion. In the second part of the talk we focus on a so-called trilinear embedding theorem for complex elliptic operators and its…
Stein and Wainger introduced an interesting class of maximal oscillatory integral operators related to Carleson's theorem. The talk will be about joint work with Ben Krause on discrete analogues of some of these operators. These discrete analogues feature a number of substantial difficulties that are absent in the real-variable setting and involve themes from number theory and analysis. Zoom…
Broadly speaking, an energy landscape is the graph of a loss function over a parameter space. Some examples include the potential energy landscape of a chemical reaction, measuring the fitness of a mechanism to perform many tasks, and a loss function arising from a training set in machine learning. This talk will discuss some successes…
It's time for the last installment in our "Milestones" Series: The Qualifying Exams Presentation and Panel. This event will consist of a short presentation giving an overview of qualifying exams, followed by a panel of four students who cumulatively have taken nearly every qualifying exam. Where: https://ncsu.zoom.us/j/92018165412
Chair: Cynthia Vinzant (clvinzan@ncsu.edu, contact for Zoom access)
Chair: Patrick L. Combettes (plc@math.ncsu.edu, contact for Zoom access)
Chair: Irina Kogan (Contact Eric at edgeiger@ncsu.edu for Zoom access)
Chair: Hien Tran (tran@ncsu.edu) and Kevin Flores (kbflores@ncsu.edu) - contact for Zoom access
Chair: Agnes Szanto (aszanto@ncsu.edu, contact for Zoom access)
Chair: Bojko Bakalov (bnbakalo@ncsu.edu, contact for Zoom access)
Chair: Tim Kelley (tim_kelley@ncsu.edu, contact for Zoom access)
In order to explain the bi-concave shape of red blood cells, Helfrich proposed to study the minimisation of a bending energy amongst closed surfaces with given fixed area and volume. In the homogeneous case, the Helfrich functional simplifies to the scaling invariant Willmore functional. Thus, for the minimisation, the two constraints on area and volume…
Zoom link sent via email.
The first SIAM event of the semester will be a MATLAB tutorial! This will be a two-part series, starting from the basics of MATLAB coding and building further into more complicated coding necessities. People with all levels of coding backgrounds are welcome to attend and there will be something new for everyone! We especially recommend…
Hello fellow graduate students! Are you completely new to LaTeX, and need to learn before your first homework? Are you already familiar and looking to practice some basic skills? Are you looking for some nice templates for use in your courses? Come to the Intro to LaTeX workshop on August 20th from 1:55-2:45, during the…
For this week, we have a special Algebra and Combinatorics meet & greet where we'll get to chat informally and discuss some ideas for the seminar and the upcoming talks. Join Zoom Meeting https://ncsu.zoom.us/j/98353887156?pwd=cUN6VnNwbHQ5Vyt2aFVCZmVPNm5nQT09 Meeting ID: 983 5388 7156 Passcode: Alg&Com21
Determining anomalies in data using classical machine learning techniques typically requires characterizing the notion of what is "normal" or "expected" in the instance space. Upon doing so, one would then utilize this profile to identify points that do not coincide with this description of normal. However, this process tends to be costly computationally, thus limiting…
I will give a brief introduction to Heegaard Floer homology and survey what's known about its "extended" structure via Lipshitz-Ozsvath-Thurston's bordered Floer homology and Douglas-Lipshitz-Manolescu's cornered Floer homology. Then I will sketch a connection between this extended structure and a more algebraic problem, the construction of tensor products for higher representations, arising from my recent work with…
The first SIAM event of the semester will be a MATLAB tutorial! This will be a two-part series, starting from the basics of MATLAB coding and building further into more complicated coding necessities. People with all levels of coding backgrounds are welcome to attend and there will be something new for everyone! We especially recommend…