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Events

Weekly Brown Bag Lunch

SAS 4104

Please join us for our weekly brown bag lunch! You bring your lunch, and we will bring a delicious treat. Everyone (not just women) is welcome to join or stop by for as long as they can!

Faye Pasley, “Determinantal representations of hyperbolic plane curves with dihedral invariance”

Given a determinantal representation by means of a cyclic weighted shift matrix, one can show the resulting polynomial is hyperbolic and invariant under the action of the dihedral group. Chien and Nakazato (2015) asked the converse question. By properly modifying a determinantal representation construction of Dixon (1902), we show for every hyperbolic polynomial with dihedral…

Jamie Pommersheim, Reed College, “Euler-Maclaurin summation formulas for polytopes”

SAS 4201

Discovered in the 1730s, the classical Euler-Maclaurin formula may be viewed as a formula for summing the values of a function over the lattice points in a one-dimensional polytope. Several years ago, Berline and Vergne generalized this formula to polytopes of arbitrary dimension, obtaining a formula for the sum of a polynomial function over the…

Owen Coss, NC State, “Computing real equilibria of the Kuramoto model “

SAS 4201

The Kuramoto model is used to describe synchronization behavior of a large set of oscillators. The equilibria of this model can be computed by solving a system of polynomial equations using algebraic geometry. Typical methods for solving such polynomial systems compute all complex equilibrium points when only the real equilibrium points are of physical interest,…

Peter Lambert-Cole, Indiana University, “Conway mutation and knot Floer homology”

SAS 1102

Mutant knots are notoriously hard to distinguish. Many, but not all, knot invariants take the same value on mutant pairs. Khovanov homology with coefficients in Z/2Z is known to be mutation-invariant, while the bigraded knot Floer homology groups can distinguish mutants such as the famous Kinoshita-Terasaka and Conway pair. However, Baldwin and Levine conjectured that…

Boris Gutkin, École Normale Supérieure, Paris, “Dynamics of dopamine neuron firing in normal and drug-modulated conditions”

Cox 306

Dopaminergic neurons in the ventral tegmental area play a key role in signalling motivational information. Modulation of this signalling by drugs is also key to the development of addiction. These neurons have several firing modes ranging from periodic low frequency activity to higher frequency bursts. In vitro, intrinsically generated bursts are seen, while in vivo…

MGSA Recruitment Weekend Game Night

SAS 1216

MGSA is hosting a game night on Friday, February 24 at 8:00pm to welcome the visitors for recruitment weekend. All current graduate students are welcome. This is a great opportunity for the visitors to interact with the grad students. MGSA will provide snacks and drinks.

José A. Carrillo de la Plata, Imperial College London, “Partial differential equations: a journey from micro to macro”

SAS 4201

What links gas molecules, charged particles, bacteria and fish?  Partial differential equations help us understanding their collective behaviour. Kinetic modelling allows for a multi-scale strategy in a number of important applications in science and technology.  Mean field limits and kinetic descriptions have become one of the most powerful tools in applied mathematics to bridge microscopic and…

Philipp Reiter, Duisburg Essen University, “Repulsive energies”

SAS 4201

During the last thirty years, several (families of) functionals have been defined which model self-avoidance: their values tend to infinity if an embedded object degenerates, e.g., if a sequence of closed simple curves converges to a curve with a self-intersection. Many of these functionals exhibit regularizing effects: they not only ensure embeddedness but in fact…

MGSA Pi Day Celebration

SAS 4104

In honor of Pi Day, MGSA will provide pie in the 4th floor lounge of SAS on Tuesday, March 14 between 2:00-3:30 pm. Please stop by for a slice of pie, and feel free to bring some pie to share.

Dirk Lorenz, TU Braunschweig, “Randomized sparse Kaczmarz methods”

SAS 4201

The Kaczmarz method is a numerical method to solve systems of linear equations and compute minimum-norm solutions of underdetermined systems. Because the method has very low memory requirements it has gained new attention in recent years. In this talk we propose a flexible algorithmic framework that extends the Kaczmarz method such that it also can…

Weekly Brown Bag Lunch

SAS 4104

Please join us for our weekly brown bag lunch! You bring your lunch, and we will bring a delicious treat. Everyone (not just women) is welcome to join or stop by for as long as they can!