The Mathematics Department holds regular seminars on a variety of topics. Please see below for further details.

Seminars

Seminar Meeting Details Title & Abstract
Pre-print Algebra Seminar
event
-
place
Strickland 117
The generators, relations and type of the Backelin Semigroup
Speaker: Arun Suresh
Algebra Seminar
event
-
place
MSB 110
The Strange World of Quotients in Algebraic Geometry

In algebraic geometry, the existence and geometry of quotient schemes is a delicate issue.  Even when quotients exist, they may not reflect enough properties of the original group action to be useful.  The machinery of geometric invariant theory is one prescription for identifying open subsets of the original scheme that admit useful quotients, but it can be shown that there are, in general, other open sets that also admit well-behaved quotients.  In this talk, we examine particular actions of diagonalizable groups on affine space and illustrate the wide variety of properties that quotients arising from this action can have.

Speaker: Dillon Lisk (University of Missouri)
Algebra Seminar
event
-
place
MSB 110
The Strange World of Quotients in Algebraic Geometry

In algebraic geometry, the existence and geometry of quotient schemes is a delicate issue.  Even when quotients exist, they may not reflect enough properties of the original group action to be useful.  The machinery of geometric invariant theory is one prescription for identifying open subsets of the original scheme that admit useful quotients, but it can be shown that there are, in general, other open sets that also admit well-behaved quotients.  In this talk, we examine particular actions of diagonalizable groups on affine space and illustrate the wide variety of properties that quotients arising from this action can have.

Speaker: DIllon Lisk (University of Missouri)
Differential Equations Seminar
event
-
place
MSB 110
group
On the stability of solitary waves in the NLS system of the third-harmonic generation

In this talk, we will consider the NLS system of the third-harmonic generation. Our interest is in solitary wave solutions and their stability properties. The recent work of Oliveira and Pastor, discussed global well-posedness, finite time blow-up, as well as other aspects of the dynamics. These authors have also constructed solitary wave solutions, via the method of the Nehari manifold, in an appropriate range of parameters. Specifically, the waves exist only in spatial dimensions \(n=1,2,3\). They have also established some stability/instability results for these waves.

In this work, we systematically build and study solitary waves for this important model. We construct the waves in the largest possible parameter space, and we provide a complete classification of their spectral stability.

Finally, we showed instability by a blow-up, for dimension 3, and for a more restrictive set of parameters, we use virial identities methods to derive the strong instability, in the spirit of Ohta's approach. This is joint work with Atanas Stefanov.

Speaker: Abba Ramadan (University of Alabama)
Graduate Student Seminar
event
place
MSB 110
Graduate Student Seminars

Friday 4-5 PM, MSB 110 

Geometry and Topology Seminar
event
place
Online
group
Geometry & Topology Seminars

Thursday 2-3 PM, Online (Contact organizer for link) 

Student Algebraic Geometry Seminar
event
place
MSB 110
group
Student Algebraic Geometry Seminars

Wednesday 5-6 PM, MSB 110

Analysis Seminar
event
place
MSB 111
Analysis Seminars

Tuesday 2-3 PM, MSB 111 

Commutative Algebra Regional Expository Seminar (CARES)
event
place
Zoom
CARES Seminars

Monday 5-6 PM, Zoom (Contact organizer for link)