We know, thanks to the Weil conjectures, that counting points of varieties over finite fields yields purely topological information about them. In this talk I will first describe how we may count the number of points over finite fields on the character varieties parameterizing certain representations of the fundamental group of a Riemann surface...
Creator:
Rodriguez Villegas, Fernando (The University of Texas at Austin)
Created:
2011-01-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years algebraic geometry, number theory, and commutative algebra have shown their potential to solve challenging problems in discrete optimization. This talk hopes to show algebraic tools can be used to prove strong computational complexity results in optimization problems with non-linear or multi-objective objective functions and line...
Creator:
De Loera, Jesus A. (University of California, Davis)
Created:
2008-11-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we will survey some recent results on the empirical eigenvalue distribution of symmetric matrices with dependent entries, selected from regular random fields. Emphasis will be put on the covariance matrix. It will be pointed out that, in many situations of interest, the limiting spectral measure always exists and depends only on th...
Creator:
Peligrad, Magda (University of Cincinnati)
Created:
2015-04-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss the effect of geometric transformations on the topology of data. Geometric transformations are central in highlighting characteristics in the data that extract information. A common feature is that the same data set can provide answers to multiple problems. Thus the choice of underlying geometry is crucial in highlighting the answ...
Creator:
Nicolau, Monica (Stanford University)
Created:
2013-10-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
One of the most basic notions in polynomial systemsolvingis feasibility: does your system of equations have any roots?We willexplore the algorithmic complexity of this problem, focussingonsparse polynomial systems over the real numbers and complexnumbers. Over the complex numbers, we will see algorithmscompletelydifferent from homotopy, resultan...
Creator:
Rojas, J. Maurice (Texas A & M University)
Created:
2006-09-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Simultaneous joint inversion of multiple data sets has become quite common in geophysics. For example, we have inverted electrical resistivity (ER) and ground penetrating radar (GPR) measurements made at the surface to image the near subsurface. Both measurements are sensitive to conductivity and are linked through Maxwell’s equations. This gi...
Creator:
Mead, Jodi (Boise State University)
Created:
2018-10-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Interbed multiples form a class of multiples in seismic data characterized by the property that all reflection points lie in thesubsurface. This sets them apart from surface multiples, which have at least one reflection point at the surface of the earth.For surface multiples there is a well established procedure to predict them from the data, i....
Creator:
Ten Kroode, Fons (The Shell Group)
Created:
2005-10-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The main focus of this presentation is on the spatiotemporal dynamics of errors in global model-based forecasts of the atmospheric state. First, a review of the latest important results from the literature is provided. Then, the results of a new investigation, which is based on The THORPEX Interactive Grand Global Ensemble (TIGGE) data set are p...
Creator:
Szunyogh, Istvan (Texas A & M University)
Created:
2013-11-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Hartree and the nonlinear Schrodinger equation can be derived as the mean field limit of the dynamics of an interacting gas of Bosons exhibiting Bose-Einstein condensation; the nonlinear dispersive PDE describes the dynamics of the Bose-Einstein condensate. The topic of this talk is an extension to the Hartree equation, which describes therm...
Creator:
Chen, Thomas (The University of Texas at Austin)
Created:
2016-10-31
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the maximum mean discrepancy MMD GAN problem and propose a parametric kernelized gradient flow that mimics the min-max game in gradient regularized MMD GAN. We show that this flow provides a descent direction minimizing the MMD on a statistical manifold of probability distributions. We then derive an explicit condition which ensures ...
Creator:
Mroueh, Youssef (IBM)
Created:
2020-11-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We study the complexity of Gröbner bases computation, in particular in the generic situation where the variables are in simultaneous Noether position with respect to the system. We bound precisely the exponent of the complexity of FaugèreF5 algorithm in this case. This complexity is related to the index of regularity of the ideal. For regular s...
Creator:
Salvy, Bruno (Institut National de Recherche en Informatique Automatique (INRIA))
Created:
2006-09-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Members of the Calof family around a horse-drawn buggy on the Calof homestead near Devil's Lake, North Dakota. From left to right: Abraham Calof, Rachel Bella Calof, a niece of Abraham (name unknown), daughter Hannah, and daughter Minnie.
Created:
1910
Contributed By:
University of Minnesota Libraries, Nathan and Theresa Berman Upper Midwest Jewish Archives.
We consider large scale behavior of the solution set of values u(t,x) for x in the d-dimensional integer lattice of the parabolic Anderson equation. We establish that the properly normalized sums of the u(t,x), over spatially growing boxes have an asymptotically normal distribution if the box grows sufficiently quickly with t and provided interm...
Creator:
Cranston, Michael (University of California, Irvine)
Created:
2013-01-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Recently, Balogh-Morris-Samotij and Saxton-Thomason developed a method of counting independent sets in hypergraphs.During the talk, I show a recent application of the method; solving the following Erdos problem:What is the number of maximal triangle-free graphs?If there is some extra time in the talk, I will survey some other recent applications...
Creator:
Balogh, Jozsef (University of Illinois at Urbana-Champaign)
Created:
2014-09-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.