Seminars and Colloquia by Series

Monday, February 4, 2019 - 12:50 , Location: Skiles 005 , Botong Wang , University of Wisconsin-Madison , , Organizer: Yoav Len
Friday, February 1, 2019 - 14:00 , Location: Skiles 006 , Bin Sun , Vanderbilt , Organizer: Dan Margalit
The notion of an acylindrically hyperbolic group was introduced by Osin as a generalization of non-elementary hyperbolic and relative hyperbolic groups. Ex- amples of acylindrically hyperbolic groups can be found in mapping class groups, outer automorphism groups of free groups, 3-manifold groups, etc. Interesting properties of acylindrically hyperbolic groups can be proved by applying techniques such as Monod-Shalom rigidity theory, group theoretic Dehn filling, and small cancellation theory. We have recently shown that non-elementary convergence groups are acylindrically hyperbolic. This result opens the door for applications of the theory of acylindrically hyperbolic groups to non-elementary convergence groups. In addition, we recovered a result of Yang which says a finitely generated group whose Floyd boundary has at least 3 points is acylindrically hyperbolic.
Friday, February 1, 2019 - 12:00 , Location: Skiles 005 , Tianyi Zhang , Georgia Tech , Organizer: Trevor Gunn
Thursday, January 31, 2019 - 15:05 , Location: Skiles 006 , V. Koltchinskii , SOM, GaTech , Organizer: Christian Houdre
Thursday, January 31, 2019 - 13:30 , Location: Skiles 006 , Daniel Minahan , Georgia Tech , Organizer: Trevor Gunn
We will finish chapter 7 of Eisenbud and Harris, 3264 and All That.Topics: Inflection points of curves in P^r, nets of plane curves, the topological Hurwitz formula.
Thursday, January 31, 2019 - 11:00 , Location: Skiles 006 , Javier Gómez-Serrano , Princeton University , , Organizer: Yao Yao
Wednesday, January 30, 2019 - 15:00 , Location: Skiles. 006 , Alex Iosevich , University of Rochester , , Organizer: Galyna Livshyts
We shall survey a variety of results, some recent, some going back a long time, where combinatorial methods are used to prove or disprove the existence of orthogonal exponential bases and Gabor bases. The classical Erdos distance problem and the Erdos Integer Distance Principle play a key role in our discussion. 
Wednesday, January 30, 2019 - 13:55 , Location: Skiles 005 , Alex Iosevich , University of Rochester , , Organizer: Galyna Livshyts
We are going to discuss some recent results pertaining to the Falconer distance conjecture, including the joint paper with Guth, Ou and Wang establishing the $\frac{5}{4}$ threshold in the plane. We are also going to discuss the extent to which the sharpness of our method and similar results is tied to the distribution of lattice points on convex curves and surfaces. 
Wednesday, January 30, 2019 - 11:00 , Location: Skiles 005 , Andreas Handel , UGA , , Organizer: Howie Weiss
  Vaccination is an effective method to protect against infectious diseases. An important consideration in any vaccine formulation is the inoculum dose, i.e., amount of antigen or live attenuated pathogen that is used. Higher levels generally lead to better stimulation of the immune response but might cause more severe side effects and allow for less population coverage in the presence of vaccine shortages. Determining the optimal amount of inoculum dose is an important component of rational vaccine design. A combination of mathematical models with experimental data can help determine the impact of the inoculum dose. We designed mathematical models and fit them to data from influenza A virus (IAV) infection of mice and human parainfluenza virus (HPIV) of cotton rats at different inoculum doses. We used the model to predict the level of immune protection and morbidity for different inoculum doses and to explore what an optimal inoculum dose might be. We show how a framework that combines mathematical models with experimental data can be used to study the impact of inoculum dose on important outcomes such as immune protection and morbidity. We find that the impact of inoculum dose on immune protection and morbidity depends on the pathogen and both protection and morbidity do not always increase with increasing inoculum dose. An intermediate inoculum dose can provide the best balance between immune protection and morbidity, though this depends on the specific weighting of protection and morbidity. Once vaccine design goals are specified with required levels of protection and acceptable levels of morbidity, our proposed framework which combines data and models can help in the rational design of vaccines and determination of the optimal amount of inoculum.  
Monday, January 28, 2019 - 16:00 , Location: Boyd , TBA , TBA , Organizer: Caitlin Leverson