(2:30 p.m. - 3:30 p.m.)

**Anh Tran**

**Ross Assistant Professor**

**Department of Mathematics, The Ohio State University**

**The AJ conjecture for knots**

The AJ conjecture was proposed in the mathematics literature by S. Garoufalidis and in the physics literature by S. Gukov about 10 years ago. It predicts a strong connection between two important knot invariants derived from very different background, namely the colored Jones function (a quantum invariant) and the A-polynomial (a geometric invariant). The colored Jones function is a sequence of Laurent polynomials which is known to satisfy a linear q-difference equation. The AJ conjecture states that by writing the linear q-difference equation into an operator form and setting q=1, one gets the A-polynomial. In this talk, I will discuss my joint work with T. Le on a geometric approach to the AJ conjecture which leads to the verification of the conjecture for many classes of knots.

Sponsored by the Department of Mathematical Sciences

Refreshments will be served in the Second Floor Atrium of FO 30 minutes prior to the talk

]]>(4 p.m. - 5:15 p.m.)

Prof. Peter Engels,

Washington State University

The simulation of condensed matter Hamiltonians using ultracold quantum gases has emerged as a highly active field of research. In this context the generation of artificial gauge fields is a powerful tool allowing the study of charged particle physics with neutral atoms. In our lab at WSU we have implemented a Raman dressing scheme realizing an artificial gauge potential and spin-orbit coupling for a BEC. Spin-orbit coupled BECs display intriguingly rich physics. Examples of these include parallels to the Zitterbewegung of free electrons predicted by the Dirac equation, the presence of a Dicke-type phase transition, and, when combined with an optical lattice, interesting bandstructures that we have probed in our experiments. In this talk I will highlight the underlying ideas of spin-orbit coupled BECs as well as recent results of our ongoing investigations.

]]>(12 p.m. - 1 p.m.)

Spring 2014 Chemistry Seminar Series

Dr Omar Farha from Northwestern University will be our speaker this Friday, Apr 25 2014

]]>(3:30 p.m. - 4:30 p.m.)

**The Department of Geosciences is pleased to announce the upcoming seminar and invite you to join us on Friday, April 25, 2014 at 3:30 p.m. in ROC 2.103. Our distinguished guest speaker will be Dr. Danny Stockli from the University of Texas at Austin. The title of his presentation will be: "Novel departures in detrital geo-and thermochronometry".**

**Admission is free and refreshments will be served after the seminar in ROC 2.301, the Geosciences Office. We hope you will plan to attend. **

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