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Research Seminars: Graduate Student Colloquium

Spring 2020

Time & Location: All talks are on Tuesdays in Stanley Thomas 316 at 4:30 PM unless otherwise noted.
Organizer: Bisui, Sankhaneel

Archives

 

January 21

Title: Shape Comparison and Gromov-Hausdorff Distance
Sushovan Majhi | Tulane University

Abstract: The Gromov-Hausdorff distance between any two metric spaces was first introduced by M. Gromov in the context of Riemannian manifolds. This distance measure has recently received increasing attention from researchers in the field of topological data analysis. In applications, shapes are modeled as abstract metric spaces, and the Gromov-Hausdorff distance has been shown to provide a robust and natural framework for shape comparison. In this talk, we will introduce the notion and address the difficulties in computing the distance between two Euclidean point-clouds. In the light of our recent findings, we will also describe an O(n log n)-time approximation algorithm for Gromov-Hausdorff distance on the real line with an approximation factor of (1+ 1/4).

 

January 28

Title: A PDE model for chemotaxis with logistic growth
Jiao Xu & Padi Fuster | Tulane University

Abstract: In this talk, we will derive a PDE model for chemotaxis (the movement of an organism in response to a chemical stimulus) with logistic growth. We will discuss the general derivation of the model and on what phenomena this can be applied to. We will also briefly talk about our results on the existence of solutions for this system of PDE.

 

February 4

Title: Enumeration of restricted Dyck paths
Diego Rubiano Villamizar | Tulane University

Abstract:  In this talk, we will discuss the combinatorics of a family of Dyck paths by imposing conditions on the vector of altitudes of the valleys. This is joint work with Rigoberto Florez, Jose L. Ramirez, and Fabio Velandia.

 

February 11

Title: Stokes flow due to regularized forces between parallel planes
Dana Ferranti | Tulane University
Abstract:
We present a method to compute Stokes flows due to regularized Stokeslets which are periodic in the x and y directions, and confined between two walls in the z-direction. The primary goal of the study is to simulate microorganism motility in confined geometries. Preliminary results from this ongoing work will be presented.

Location:  Stanley Thomas 316
Time:  5:00

 

February 18

Title: Competitive Programming
Akshay Mehra | Tulane University
Abstract:
Many companies gauge the programming skills of a candidate based on their ability to solve complex problems and their ability to code the solution in some programming language. Moreover, coding rounds are a part of the interview process for companies such as Google, Facebook, Apple, Amazon, etc, even when you apply for their research positions. Hence, in order to be prepared for these interviews, it’s extremely important to be competent in at least one programming language and have experience in coming up with algorithms to solve challenging problems with their complexity analysis. In this talk, I intend to give a short introduction about how to approach these interview problems and will interactively solve 2 such problems. This will demonstrate the power of algorithms and will be helpful to you when you are searching for a job or an internship in the industry.

 

February 25

Mardi Gras

 

March 3

Title: Points and Containments
Sankhaneel Bisui | Tulane University
Abstract:
In this talk, I will describe projective space and different algebraic sets in the space and the corresponding algebraic objects. Many commutative algebraists, Algebraic Geometers are interested in containment problems of the ideals corresponding to the points. One of the motives to study the containment is to get a better lower bound on the least degree of the hypersurfaces that pass through the points. I will also describe some of these problems and some results about them.

 

March 10

Canceled

Title: The Borel Submonoid of a Symplectic Monoid
Hayden  Houser | Tulane University
Abstract:
In this talk, we consider the combinatorial properties of the complex symplectic monoid $MSp_n$. We provide a concrete description of the Bruhat-Chevalley-Renner order on $MSp_n$ by showing that this partial order is completely determined by the Bruhat-Chevalley-Renner order on the algebraic monoid of $n \times n$ matrices $M_n$. We then develop a relationship between the Borel submonoid of $MSp_n$ and a new kind of type B set partitions.

Canceled

 

March 17

Title: TBA
speaker | Institution
Abstract:
TBA

March 24

Title: What is local cohomology?
Thai Nguyen | Tulane University
Abstract:

Local cohomology was introduced by Alexander Grothendieck in the 1960s as a tool to study sheaves and their cohomology in algebraic geometry. Since then, commutative algebraists have used it widely and found various applications. In this talk, I will try to explain this notion from an algebraic point of view by discussing an application of it.

Meeting Id:  899-652-418

Meeting URL:  https://tulane.zoom.us/j/899652418

Time: 4.30 pm 

 

March 31

Title: Bruhat posets of Hermitian-type symmetric spaces
Aram Bingham | Tulane University
Abstract:
Compact irreducible Hermitian symmetric spaces come in four infinite families. In each case, their complexifications yield an associated affine bundle over a Grassmannian π: G/L→G/P. I'll discuss the Bruhat poset of containments of Borel orbit closures in the total space G/L.

Time: 4.30 pm  

Sankhaneel Bisui is inviting you to a scheduled Zoom meeting.

Topic: Graduate-Zoom-talk-Aram
Time: Mar 31, 2020 04:30 PM Central Time (US and Canada)

Join Zoom Meeting
https://tulane.zoom.us/j/604266778

Meeting ID: 604 266 778

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April 7

Title: TBA
speaker | Institution
Abstract:
TBA

 

April 14

Title: p-adic valuations of polynomials
Vaishavi Sharma | Tulane University
Abstract:

Meeting Id:  913-3840-9369

Meeting URL:  https://tulane.zoom.us/j/91338409369

 

April 21

Title: Graphs and Geometry
Victor Bankston | Tulane University
Abstract:
We will introduce the Collin de Verdiere Invariant and discuss its relation to graph embedding problems.

Meeting Id:  913-3840-9369

Meeting URL:  https://tulane.zoom.us/j/91338409369

Date:  April 21 2020

Time: 4.30

 

April 28

Title: TBA
speaker | Institution
Abstract:
TBA