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# Events for 10/12/2020 from all calendars

## Geometry Seminar

## Colloquium - Recent Advances concerning the Navier-Stokes and Euler Equations

## Industrial and Applied Math

**Time: ** 3:00PM - 4:00PM

**Location: ** zoom

**Speaker: **F. Gesmundo, U. Copenhage

**Title: ***Approaching the boundary of tensor network varieties*

**Abstract: **Tensor network states are particular tensors arising via contractions
determined by the combinatorics of a weighted graph and are used as
ansatz class for a number of problems in applied mathematics. If the
graph contains cycles, the corresponding set of tensor network states is
(often) not closed in the Zariski topology; its closure is usually
referred to as the tensor network variety. There are several tensors of
interest lying on the "boundary", that is the difference between the
variety and the set itself. In recent work, we introduced sets of
tensors, arising in a natural geometric way, which include tensors at
the boundary and offer similar properties as the ansatz class of tensor
network states. In this seminar, I will introduce the tensor network
variety, will show some properties of the boundary and will illustrate
how the new ansatz class comes into play. This is based on joint work
with M. Christandl, D. Stilck-Franca and A. Werner.

**Time: ** 4:00PM - 5:00PM

**Location: ** Zoom

**Speaker: **Edriss Titi, Texas A&M University

**Description: **Abstract: In this talk I will discuss some recent progress concerning
the Navier-Stokes and Euler equations
of incompressible fluid. In particular, issues concerning the lack of
uniqueness and the effect of
physical boundaries on the potential formation of singularity. In
addition, I will present a blow-up
criterion based on a class of inviscid regularization for these equations.

**Time: ** 6:30PM - 7:30PM

**Location: ** ZOOM

**Speaker: **Dr. Emma Goldberg, Theoretical Biology group at Los Alamos National Lab

**Title: ***Inferring COVID-19 Epidemiology from the Phylogenetic Tree of Viral Relationships*

**Abstract: ** As a virus spreads from person to person, mutations arise in its genome and are transmitted to newly-infected people. This mutational trail of clues can be interpreted as a tree of relationships among viral samples taken from different people. The field of "phylodynamics" uses this type of data and applies mathematical models of viral growth and spread to estimate properties of an epidemic. I will discuss our efforts at phylodynamic modeling for the virus that causes COVID-19, focusing especially on identifying introductions of the virus into New Mexico and clusters of local spread within the state. By combining applied mathematical modeling with genetic sequencing technology and public health data, our team is uncovering actionable information about the spread of this virus.