Algebra and Number Theory Seminar
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Posted November 3, 2018

Last modified February 22, 2019

Nicolas Andruskiewitsch, Universidad Nacional de Cordoba (National University of Cordoba)

The classification of Hopf algebras with finite Gelfand-Kirillov dimension

The classification of Hopf algebras with finite Gelfand-Kirillov dimension has received attention recently. Nichols algebras play an important role in this question that will be explained in the talk together with an overview of examples and partial results.

Informal Geometry and Topology Seminar
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Posted January 27, 2019

Last modified February 21, 2019

Yu-Chan Chang, Louisiana State University

Introduction to handlebody groups

Abstract: Handlebody group is the mapping class group of a 3-dimensional handlebody, it is a subgroup of the mapping class group of the boundary surface of that handlebody. In this introductory talk, I will talk about some properties of handlebody groups and how different they are from the surface mapping groups.

Colloquium
Questions or comments?

Posted October 18, 2018

Last modified February 17, 2019

Matthew Hedden, Michigan State University

Knot theory and algebraic curves

Abstract: The modern study of knots and links has important roots in the theory of algebraic curves, where links encode subtle features of singularities. This thread was taken in interesting new directions in the 20th century, and the interaction between links in 3-dimensional manifolds and algebraic curves in complex surfaces continues to be a rich and beautiful area. In this talk I will survey the subject, from its seeds in the work of Newton to interesting advances which have occurred in the past decade.

Algebra and Number Theory Seminar
Questions or comments?

Posted December 27, 2018

Last modified February 22, 2019

Eric Rowell, Texas A&M

Representations of Mapping Class Groups and Motion Groups

(2+1)TQFTs and their algebraic counterparts (modular categories) provide finite dimensional representations

of mapping class groups, such as the braid group and SL(2,Z). Analogously, one expects to (3+1)TQFTs to

give us representations of motion groups, such as the loop braid group--the motions of the n-component unlink.

I will describe a few questions related to these representations, some of which are motivated by topological quantum

computation, and what is currently known about their answers.

Algebra and Number Theory Seminar
Questions or comments?

Posted December 11, 2018

Mardi Gras Holiday

Algebra and Number Theory Seminar
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Posted October 1, 2018

Last modified October 26, 2018

Luca Candelori, Wayne State University

Transcendence of Periods and Endomorphism Algebras of Jacobian Varieties

In this talk I will describe a new method to bound the number of linear relations with algebraic coefficients between the periods of an algebraic curve. As shown by Shiga and Wolfart, these bounds provide information regarding the dimension of the endomorphism algebra of the corresponding Jacobian variety. I will explain how to employ these new bounds to explore two of the many open questions about endomorphism algebras of Jacobians: which Jacobians have complex multiplication, and which Jacobians are totally decomposable.

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 3:00 pm Lockett 233
Federico Salmoiraghi, Department of Mathematics, LSU

TBA

Geometry and Topology Seminar
Seminar website

Posted October 22, 2018

Last modified January 9, 2019

Caitlin Leverson, Georgia Institute of Technology

TBA

Algebra and Number Theory Seminar
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Posted December 17, 2018

3:10 pm - 4:00 pm
Timo Richarz, Technische Universitat Darmstadt

TBA

Computational Mathematics Seminar

Posted February 14, 2019

3:30 pm - 4:30 pm 1034 Digital Media Center
Hongbo Dong, Washington State University

TBA

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 3:00 pm Lockett 233
Nurdin Takenov, Louisiana State University

TBA

Colloquium
Questions or comments?

Posted January 9, 2019

3:30 pm - 4:20 pm TBD
Amarjit Budhiraja, UNC Chapel Hill

TBD

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 1:30 pm Lockett 233
Rima Chatterjee, Louisiana State University

TBA

Geometry and Topology Seminar
Seminar website

Posted August 15, 2018

3:30 pm - 4:30 pm Lockett 233
Tye Lidman, North Carolina State University

TBA

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted September 30, 2018

Last modified February 10, 2019

Robert Bryant, Duke University
Fellow, American Academy of Arts and Sciences (2002), Member, National Academy of Sciences (2007), AMS Fellow (2013), AMS President (2015-2017)

Porcelli Lecture 1 (High-School Level): Mathematical Mysteries of the Ellipse

Abstract: After lines and circles, the simplest curves are the so-called conic sections, hyperbolas, parabolas, and ellipses. Not only are they the next simplest curves, but they have many applications in the physical world and have been studied for more than two thousand years.

However, these curves have many surprising properties that were not discovered until fairly recently.

For example, it has been known for a long time that light emitted from one focus of an ellipse collects at the other focus, and a similar property for the parabola is used in designing headlights. However, this turns out to be a special case of a much more interesting and surprising special property discovered in the 19th century and that has given rise to problems that we still don't know how to solve today.

In this talk, which will use nothing beyond high school algebra (and lots of pictures), I'll explain some of these mysteries and why we study them.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted September 30, 2018

Last modified February 10, 2019

Robert Bryant, Duke University
Fellow, American Academy of Arts and Sciences (2002), Member, National Academy of Sciences (2007), AMS Fellow (2013), AMS President (2015-2017)

Porcelli Lecture 2 (Undergraduate Level): Geometry Old and New: From Euclid to String Theory

Abstract: Classical geometry is based on notions of symmetry and congruence, and these ideas, while very old, have deeply influenced our understanding of the physical world. The idea of modeling the world through principles of least action or least energy are tied to symmetry in deep ways. In this talk, I will survey the history of how this relationship was uncovered by mathematicians such as Euler, Gauss, Lie, and Noether and is still developing in our modern understanding of the world, from Einstein's theory of relativity even to contemporary versions of string theory.

Pasquale Porcelli Lecture Series
Special Lecture Series

Posted September 30, 2018

Last modified February 10, 2019

Robert Bryant, Duke University
Fellow, American Academy of Arts and Sciences (2002), Member, National Academy of Sciences (2007), AMS Fellow (2013), AMS President (2015-2017)

Porcelli Lecture 3 (Graduate Student Level): The Best Possible Shapes of Surfaces

Abstract: Much of classical mathematics involves finding a configuration or shape that provides an optimum solution of a problem. For example, it has long been known (though a rigorous proof took quite a while to find) that the surface of least area enclosing a given volume is a round sphere. There are many other ways to measure surfaces, though, and finding 'the' surface that optimizes a given 'measurement' (subject to some given constraints) remains a challenging problem that has motivated some of the deepest recent work in the mathematics of geometric shapes.

In this talk, I will explain some of the classic ways to measure shapes of surfaces and relate this to classical problems involving surface area (soap films and bubbles) and total curvature as well to as recent progress by myself and others on these important optimization problems.

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 3:00 pm Lockett 233
Lucas Meyers, Louisiana State University

TBA

Algebra and Number Theory Seminar
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Posted August 20, 2018

Last modified December 18, 2018

Sharon Frechette, College of the Holy Cross

TBA

Computational Mathematics Seminar

Posted February 14, 2019

3:30 pm - 4:30 pm 1034 Digital Media Center
Winnifried Wollner, Technische Universitaet Darmstadt

TBA

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 3:00 pm Lockett 233
Sean Bibby, Louisiana State University

TBA

Geometry and Topology Seminar
Seminar website

Posted January 25, 2019

3:30 pm - 4:30 pm Lockett 233
Peter Lambert-Cole, Georgia Institute of Technology

TBA

Algebra and Number Theory Seminar
Questions or comments?

Posted December 11, 2018

Spring Break

Algebra and Number Theory Seminar
Questions or comments?

Posted February 12, 2019

3:10 pm - 4:00 pm
Peter Jorgensen, Newcastle University

TBA

Informal Geometry and Topology Seminar
Questions or comments?

Posted January 27, 2019

1:30 pm - 3:00 pm Lockett 233
Natthawut Phanachet, Louisiana State University

TBA

Colloquium
Questions or comments?

Posted January 17, 2019

3:30 pm - 4:20 pm TBD
Jasson Vindas, Ghent University, Belgium

TBD