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David Gerard - Department of Statistics, University of Chicago
Feb 23, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Robert A. Pritzker Science Center, Room 152
Modern genomics has revolutionized how we answer questions about evolution, population dynamics, medicine, and plant and animal breeding. To answer these questions, we must first be able to detect and quantify (or "genotype") differences in individual genomes. Many scientists have used next... read more
Fri.
Feb 23
Alexandr Kostochka - Department of Mathematics, University of Illinois at Urbana-Champaign
Mar 5, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Rettaliata Engineering Center, Room 104
Dvořák and Postle introduced DP-coloring to answer a question of Borodin on list-coloring of planar graphs. Formally, a DP-\(k\)-coloring of a graph \(G\) is not exactly a coloring, but is an independent set in an auxiliary graph \(H(G,k)\). However, DP-coloring has many properties... read more
Mon.
Mar 5
René Carmona - Department of Operations Research and Financial Engineering, Princeton University
Mar 26, 2018 - 6:00pm to 7:00pm
Department of Applied Mathematics - Lecture - Hermann Hall Ballroom
Motivated by a few concrete examples such as bird flocking, congestion for crowd motion, and bee swarming, we introduce the mean field game paradigm; and we present the underpinnings of the original analytic approach based on partial differential equations, and the probabilistic approach based on... read more
Mon.
Mar 26

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Feng Bao - Department of Mathematics, The University of Tennessee at Chattanooga
Feb 14, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Rettaliata Engineering Center, Room 104
We consider a dynamical system modeled by a stochastic differential equation with observational data available for the functional of the system state. The goal of the nonlinear filtering problem is to find the best estimate of the state of the dynamical system based on the observation. Some well-... read more
Wed.
2/14/18
Andrei Tarfulea - Department of Mathematics, University of Chicago
Feb 13, 2018 - 1:50pm to 2:55pm
Department of Applied Mathematics - Colloquia - Robert A. Pritzker Science Center, Room 240
Understanding the behavior of solutions to physically motivated evolution equations is one of the most important areas of applied analysis. Developing strong bounds and asymptotics are crucial for anticipating the behavior of simulations, simplifying the methods needed to model the physical... read more
Tue.
2/13/18
Sergey Nadtochiy - Department of Mathematics, University of Michigan
Feb 12, 2018 - 3:15pm to 4:15pm
Department of Applied Mathematics - Colloquia - Rettaliata Engineering Center, Room 104
In this talk, I will analyze a system of particles with singular interaction through hitting times. Such systems have been used in Neuroscience, but are also well suited for modeling Systemic Risk. I will discuss the latter application and will proceed to the analysis of a large-population limit of... read more
Mon.
2/12/18

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