LSU College of Science
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Tuesday, February 4, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted October 11, 2019
Last modified January 14, 2020

3:10 pm - 4:00 pm 232 Lockett Originally scheduled for Wednesday, November 27, 2019

Kent Vashaw, Louisiana State University
Noncommutative tensor triangular geometry

We describe a general theory of the prime spectrum of non-braided monoidal triangulated categories. These notions are a noncommutative analogue to Paul Balmer's prime spectra of symmetric tensor-triangulated categories. Noncommutative monoidal triangulated categories appear naturally as stable module categories for non-quasitriangular Hopf algebras and as derived categories of bimodules of noncommutative algebras. In stable module categories of Hopf algebras, the support theory of the category, as described by Benson-Iyengar-Krause, is linked to the Balmer spectrum, which is shown to be the final support datum. We will describe how this connection can be used to compute Balmer spectra in general, and we will compute the Balmer spectra for stable module categories of the small quantum group of a Borel subalgebra at a root of unity, and the stable module categories for smash coproduct Hopf algebras of group algebras with coordinate rings of groups. This is joint work with Daniel Nakano and Milen Yakimov.

Thursday, February 6, 2020

Colloquium  Questions or comments?

Posted January 10, 2020

3:30 pm - 4:20 pm TBD

Christopher Sogge, Johns Hopkins University J. J. Sylvester Professor of Mathematics

TBD

Monday, February 10, 2020

Applied Analysis Seminar  Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233

Junshan Lin, Auburn University
Title pending

Tuesday, February 18, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 15, 2020

3:10 pm - 4:00 pm 232 Lockett

Po-Han Hsu, Louisiana State University
TBA


Computational Mathematics Seminar  

Posted January 7, 2020

3:30 pm - 4:20 pm Digital Media Center 1034

Giordano Tierra-Chica, University of North Texas
Numerical Schemes for Mixtures of Isotropic and Nematic Flows Taking into Account Anchoring and Stretching Effects

The study of interfacial dynamics between two different components has become the key role to understand the behavior of many interesting systems. Indeed, two-phase flows composed of fluids exhibiting different microscopic structures are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: microscopic inside each component, mesoscopic interfacial morphology and macroscopic hydrodynamics. Moreover, in the case of complex fluids composed by the mixture between isotropic (newtonian fluid) and nematic (liquid crystal) flows, its interfaces exhibit novel dynamics due to anchoring effects of the liquid crystal molecules on the interface.

In this talk I will introduce a PDE system to model mixtures composed by isotropic fluids and nematic liquid crystals, taking into account viscous, mixing, nematic, stretching and anchoring effects and reformulating the corresponding stress tensors in order to derive a dissipative energy law. Then, I will present new linear unconditionally energy-stable splitting schemes that allows us to split the computation of the three pairs of unknowns (velocity-pressure, phase field-chemical potential and director vector-equilibrium) in three different steps. The fact of being able to decouple the computations in different linear sub-steps maintaining the discrete energy law is crucial to carry out relevant numerical experiments under a feasible computational cost and assuring the accuracy of the computed results.

Finally, I will present several numerical simulations in order to show the efficiency of the proposed numerical schemes, the influence of the shape of the nematic molecules (stretching effects) in the dynamics and the importance of the interfacial interactions (anchoring effects) in the equilibrium configurations achieved by the system.

(Refreshments at 3:00PM in the Computational Math Area of LDMC)

Tuesday, February 25, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 14, 2020

Mardi Gras Holiday

Monday, March 9, 2020

Applied Analysis Seminar  Questions or comments?

Posted December 2, 2019

3:30 pm Lockett 233

Rudi Weikard, University of Alabama at Birmingham
Title pending

Wednesday, March 11, 2020

Geometry and Topology Seminar  Seminar website

Posted November 11, 2019

3:30 pm - 4:30 pm Lockett 233

Zhenkun Li, MIT
TBA

Tuesday, March 24, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 14, 2020

Spring Break

Tuesday, March 31, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 14, 2020

3:10 pm - 4:00 pm 232 Lockett

Walter Bridges, Louisiana State University
TBA

Tuesday, April 7, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 14, 2020

3:10 pm - 4:00 pm 232 Lockett

Shashika Mestrige, Louisiana State University
TBA

Tuesday, April 21, 2020

Algebra and Number Theory Seminar  Questions or comments?

Posted January 14, 2020
Last modified January 15, 2020

3:10 pm - 4:00 pm 232 Lockett

Alyson Deines, Center for Communications Research La Jolla (CCR-L)
TBA

Thursday, April 23, 2020

Colloquium  Questions or comments?

Posted January 15, 2020

3:30 pm - 4:20 pm Lockett 232

Lenhard Ng, Duke University
TBD

Tuesday, April 28, 2020

Undergraduate Student Colloquium  

Posted January 13, 2020

TBA

Shelly Harvey, Rice University
Undergraduate Talk

Wednesday, April 29, 2020

Graduate Student Colloquium  

Posted January 13, 2020

TBA

Shelly Harvey, Rice University
Graduate talk