Schedule
Date |
Speaker |
Affiliation |
Title |
Abstract |
May 4 |
Ying Hu |
LSU |
Left-orderability and cyclic branched covers |
A group is called left-orderable if one can put a total order
on the set of group elements so that inequalities are preserved by group multiplication on the left.
The left-orderability of 3-manifold groups is closely related to the concepts of L-spaces and taut foliations, as conjectured by Boyer-Gordon-Watson. In this talk, we will discuss the left-orderability of fundamental groups of cyclic branched covers of the three sphere.
|
April 27th |
Christopher Cornwell |
Universite du Quebec a Montreal, CANADA |
Knot theory through contact homology and the braid group |
Legendrian contact homology (LCH) is a homology theory that, like the numerous Floer homology theories, uses a Gromov-type count of pseudo-holomorphic curves in its differential. In some settings the differential of LCH can be understood purely through topological and combinatorial data. In this talk I will focus on just such a setting. We will discuss how the combinatorial computation of LCH in this setting reveals a number of connections to knot theory. Central to the discussion will be a nice representation of the braid group. No previous knowledge of contact geometry will be assumed.
|
March 23rd |
K. Peterson |
Florida State University |
Deformations of Hyperbolic 3-manifolds |
A character variety of a 3-manifold M is the space X(M) of all hyperbolic structures on M. These algebraic varieties encode a lot of topological data about the 3-manifold. Culler and Shalen famously showed that X(M) detects many surfaces in M. I will talk about the connection between the geometry of X(M) and the topology of M, focusing on invariants like the genus of X(M) and the gonality of X(M).
|
Jan 16 (FRIDAY, 2pm in FO 1.202) |
Maciek Mroczkowski |
Gdansk University |
Diagrams of links in Seifert manifolds and their application to skein
modules |
I will present diagrams of links in Seifert manifolds together with
Reidemeister moves that connect any two diagrams of the same link. Then, I
will show how these diagrams and moves can be used to compute some skein
modules, such as Kauffman Bracket skein module and HOMFLYPT skein module.
|
Jan 16 (FRIDAY, 12pm in SLC 1.202) |
Michal Jablonowski |
Gdansk University |
On a monoid associated to knotted surfaces |
We describe a view to knotted surfaces in the four space as elements of a monoid with four types of generators: two classical braid generators and two of singular braid types. We present local and global relations on words that do not change a corresponding surface-knot type. Those new relations already appear to be useful: in a quest of a classification of twist-spun knots, and in a construction of classical diagrams having some minimal number of Reidemeister III moves required to connect them.
|
Dec 8 |
H. Poonawala |
Laboratory for Autonomous Robotics and Systems, UTD |
Applications of the Frobenius Theorem in Controls Engineering
Feedback Linearization and controllability of dynamical systems in R^n |
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|
Nov 10 |
T. Ohsawa |
Mathematical Sciences, UTD |
How is quantum mechanics related to classical mechanics?, II |
-
|
Nov 3 |
T. Ohsawa |
Mathematical Sciences, UTD |
How is quantum mechanics related to classical mechanics? |
-
|
Oct 20 |
W. Krawcewicz |
Mathematical Sciences, UTD |
Pontriagin-Thom Theorem II |
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|
Oct 13 |
Q. Hu |
Mathematical Sciences, UTD |
Introduction to differential equations with state-dependent delay |
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|
Oct 6 |
W. Krawcewicz |
Mathematical Sciences, UTD |
Pontriagin-Thom Theorem |
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|
Sep 22 |
A. Tran |
Mathematical Sciences, UTD |
Introduction to character varieties, III |
An introduction to character varieties of finitely generated groups and their applications in topology will be given.
|
Sep 15 |
A. Tran |
Mathematical Sciences, UTD |
Introduction to character varieties, II |
An introduction to character varieties of finitely generated groups and their applications in topology will be given.
|
Sep 8 |
A. Tran |
Mathematical Sciences, UTD |
Introduction to character varieties |
An introduction to character varieties of finitely generated groups and their applications in topology will be given.
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