## Seminars and Colloquia by Series

Series: Other Talks
Friday, January 19, 2018 - 09:05 , Location: Skiles 005 , Several Speakers , Several affiliations. , Organizer: Rafael de la Llave
This is a workshop designed to provide an introduction to the use of modern tools from Dynamical Systems in the design of space exploration missions.   More details and a detailed schedule is found in  http://people.math.gatech.edu/~rll6/JPL/jpl.html
Series: Other Talks
Thursday, January 18, 2018 - 09:30 , Location: Skiles 005 , Several Speakers , Several affiliations. , Organizer: Rafael de la Llave
This is a workshop designed to provide an introduction to the use of modern tools from Dynamical Systems in the design of space exploration missions.   More details and a detailed schedule is found in  http://people.math.gatech.edu/~rll6/JPL/jpl.html
Series: Other Talks
Wednesday, January 17, 2018 - 09:05 , Location: Skiles 005 , Several Speakers , Several affiliations. , Organizer: Rafael de la Llave
This is a workshop designed to provide an introduction to the use of modern tools from Dynamical Systems in the design of space exploration missions.   More details and a detailed schedule is found in  http://people.math.gatech.edu/~rll6/JPL/jpl.html
Tuesday, January 16, 2018 - 15:00 , Location: Skiles 006 , , Michigan State University , Organizer: Christian Houdre
Semiparametric regressions enjoy the flexibility of nonparametric models as well as the in-terpretability of linear models. These advantages can be further leveraged with recent ad-vance in high dimensional statistics. This talk begins with a simple partially linear model,Yi = Xi β ∗ + g ∗ (Zi ) + εi , where the parameter vector of interest, β ∗ , is high dimensional butsufficiently sparse, and g ∗ is an unknown nuisance function. In spite of its simple form, this highdimensional partially linear model plays a crucial role in counterfactual studies of heterogeneoustreatment effects. In the first half of this talk, I present an inference procedure for any sub-vector (regardless of its dimension) of the high dimensional β ∗ . This method does not requirethe “beta-min” condition and also works when the vector of covariates, Zi , is high dimensional,provided that the function classes E(Xij |Zi )s and E(Yi |Zi ) belong to exhibit certain sparsityfeatures, e.g., a sparse additive decomposition structure. In the second half of this talk, I discussthe connections between semiparametric modeling and Rubin’s Causal Framework, as well asthe applications of various methods (including the one from the first half of this talk and thosefrom my other papers) in counterfactual studies that are enriched by “big data”.Abstract as a .pdf
Tuesday, January 16, 2018 - 11:05 , Location: Skiles 006 , , Columbia University , , Organizer: Michael Damron
The probability of outcomes of repeated fair coin tosses can be computed exactly using binomial coefficients. Performing asymptotics on these formulas uncovers the Gaussian distribution and the first instance of the central limit theorem. This talk will focus on higher version of this story. We will consider random motion subject to random forcing. By leveraging structures from representation theory and quantum integrable systems we can compute the analogs of binomial coefficients and extract new and different asymptotic behaviors than those of the Gaussian. This model and its analysis fall into the general theory of "integrable probability".
Series: Other Talks
Tuesday, January 16, 2018 - 09:30 , Location: Skiles 005 , Several Speakers , Several affiliations. , Organizer: Rafael de la Llave
This is a workshop designed to provide an introduction to the use of modern tools from Dynamical Systems in the design of space exploration missions.   More details and a detailed schedule is found in  http://people.math.gatech.edu/~rll6/JPL/jpl.html
Monday, January 15, 2018 - 13:55 , Location: Skiles 006 , None , None , Organizer: Dan Margalit
Series: Other Talks
Friday, January 12, 2018 - 10:10 , Location: Skiles 005 , Rafael de la Llave , School of Mathematics, Georgia Inst. of Technology , Organizer: Rafael de la Llave
This is a preliminary talk for the Workshop "Introduction to Dynamical Systems Methods for Mission Design" that will take place Jan 16-19 in the school of  Mathematics. In this talk, we will present the basics of Hamiltonian dynamics and why it is useful. It ishoped that it will be accesible for people with background in undergraduate differential equations who want to participate in the workshop.
Tuesday, January 9, 2018 - 14:00 , Location: Skiles 005 , Thanh Dang , Math, GT , Organizer: Robin Thomas
Let P be a graph with a vertex v such that P-v is a forest and let Q be an outerplanar graph. In 1993 Paul Seymour asked if every two-connected graph of sufficiently large path-width contains P or Q as a minor.mDefine g(H) as the minimum number for which there exists a positive integer p(H) such that every g(H)-connected H-minor-free graph has path-width at most p(H). Then g(H) = 0 if and only if H is a forest and there is no graph H with g(H) = 1, because path-width of a graph G is the maximum of the path-widths of its connected components.Let A be the graph that consists of a cycle (a_1,a_2,a_3,a_4,a_5,a_6,a_1) and extra edges a_1a_3, a_3a_5, a_5a_1. Let C_{3,2} be a graph of 2 disjoint triangles. In 2014 Marshall and Wood conjectured that a graph H does not have K_{4}, K_{2,3}, C_{3,2} or A as a minor if and only if g(H) >= 2. In this thesis we answer Paul Seymour's question in the affirmative and prove Marshall and Wood's conjecture, as well as extend the result to three-connected and four-connected graphs of large path-width. We introduce cascades", our main tool, and prove that in any tree-decomposition with no duplicate bags of bounded width of a graph of big path-width there is an injective" cascade of large height. Then we prove that every 2-connected graph of big path-width and bounded tree-width admits a tree-decomposition of bounded width and a cascade with linkages that are minimal. We analyze those minimal linkages and prove that there are essentially only two types of linkage. Then we convert the two types of linkage into the two families of graphs P and Q. In this process we have to choose the right'' tree decomposition to deal with special cases like a long cycle. Similar techniques are used for three-connected and four-connected graphs with high path-width.
Series: PDE Seminar
Wednesday, December 13, 2017 - 15:00 , Location: Skiles 005 , , King's College London , , Organizer: Yao Yao
In a recent work Sideris constructed a finite-parameter family of compactly supported affine solutions to the free boundary compressible Euler equations satisfying the physical vacuum condition.  The support of these solutions expands at a linear rate in time. We show that if the adiabatic exponent gamma belongs to the interval(1, 5/3] then these affine motions are globally-in-time nonlinearly stable. If time permits we shall also discuss several classes of global solutions to the compressible Euler-Poisson system. This is a joint work with Juhi Jang.