Wednesday, February 20, 2019 - 00:05 , Location: Skiles 006 , Jennifer Kloke , Ayasdi , Organizer: Kirsten Wickelgren
The Mapper algorithm constructs compressed representations of the underlying structure of data but involves a large number of parameters. To make the Mapper algorithm accessible to domain experts, automation of the parameter selection becomes critical. This talk will be accessible to graduate students.
Wednesday, February 13, 2019 - 12:05 , Location: Skiles 006 , Josephine Yu , Georgia Tech , Organizer: Trevor Gunn
For a polytope P, the h-vector is a vector of integers which can be calculated easily from the number of faces of P of each dimension. For simplicial polytopes, it is well known that the h-vector is symmetric (palindromic) and unimodal. However in general the h-numbers may even be negative. In this talk I will introduce the tropical h-vector of a polytope, which coincides with the usual h-vector of the dual polytope, if the polytope is simple. We will discuss how they are related to toric varieties, tropical geometry, and polytope algebra. I will also discuss some open problems.
Wednesday, February 6, 2019 - 12:05 , Location: Skiles 006 , Jennifer Hom , Georgia Tech , Organizer: Trevor Gunn
In this talk, we will discuss various ways to describe three-manifolds by decomposing them into pieces that are (maybe) easier to understand. We will use these descriptions as a way to measure the complexity of a three-manifold.
Wednesday, November 28, 2018 - 12:20 , Location: Skiles 005 , JungHwan Park , Georgia Tech , Organizer: Trevor Gunn
This is a survey talk on the knot concordance group and the homology cobordism group.
Wednesday, November 14, 2018 - 12:20 , Location: Skiles 005 , Prasad Tetali , Georgia Tech , Organizer: Trevor Gunn
There has been much interest in the past couple of decades in identifying (extremal) regular graphs that maximize the number of independent sets, matchings, colorings etc. There have been many advances using techniques such as the fractional subaddtivity of entropy (a.k.a. Shearer's inequality), the occupancy method etc. I will review some of these and mention some open problems on hypergraphs.
Wednesday, November 7, 2018 - 12:20 , Location: Skiles 005 , Federico Bonetto , Georgia Tech , Organizer: Trevor Gunn
We all know that the air in a room is made up by a huge number of atoms that zip around at high velocity colliding continuously. How is this consistent with our observation of air as a thin and calm fluid surrounding us? This is what Statistical Mechanics try to understand. I'll introduce the basic examples and ideas of equilibrium and non equilibrium Statistical Mechanics showing that they apply well beyond atoms and air.
Wednesday, October 31, 2018 - 12:20 , Location: Skiles 005 , Haomin Zhou , Georgia Tech , Organizer: Trevor Gunn
In this chalk plus slides talk, I will give a few examples from my own experience to illustrate how one can use stochastic differential equations in various applications, and its theoretical connection to diffusion theory and optimal transport theory. The presentation is designed for first or second year graduate students.