Graduate Number Theory Seminar (GNTS)/ Learning Seminar (LS)

These two seminars run periodically throughout the semester. The Graduate Number Theory Seminar is for talks by the graduate students (and sometimes post docs) for the graduate students. The Learning Seminar this semester (and possibly next) will focus on Ratner's Theorems and we will be using the book by Dave Witte Morris, "Ratner's Theorems on Unipotent Flows." A link to the book may be found on the archive.

### Meeting Time/Loctation:

Wednesdays 10:30-11:30 am in Hill 425

### Organizer:

Brooke Ogrodnik

bl481@math.rutgers.edu
### Next Talk:

Wednesday December 4th (LS):

Speaker: Alex Karlovitz

Title: Entropy of Translations on Lie Groups

Abstract: This talk will cover sections 2.5 and 2.6 of the book "Ratner's Theorems on Unipotent Flows" by Dave Witte Morris. We briefly review sections 2.1-2.4, which regard the entropy of a measure-preserving transformation on a probability space. Then, we move to the situation where the space is a Lie group modded out by a lattice, and the transformation is translation by an element of the Lie group.
### Upcoming Talks:

December 11th (GNTS): Speaker-Forrest Thurman
### Past Talks:

Wednesday November 20th (LS): George Hauser gave a talk about chapter 2 of Ratner's Theorems.

Wednesday November 13th (LS): Alex Kontorovich gave a talk entitled, "Ratner's Theorems."

Wednesday November 6th (GNTS): Doyon Kim gave a talk entitled, "Congruent numbers and elliptic curves."

Wednesday October 30th (LS): Alex Walker gave a talk entitled, "Arithmetic Applications of Ratner's Theorems."

Wednesday October 23rd (GNTS): Edna Jones gave a talk entitled, "Siegel's Formula."

Wednesday October 16th (GNTS): Louis Gaudet gave a talk entitled, "A zero-density theorem for the Riemann zeta function."

Wednesday October 9th (GNTS): Alex Karlovitz gave a talk entitled, "An Introduction to Maass Forms and their Fourier Expansions."

Wednesday October 2nd (GNTS): George Hauser gave a talk entitled, "The Dedekind Eta Function and Its Multiplier System."

Wednesday September 25th (LS): Matthew Welsh gave a talk entitled, "The Oppenhiem conjecture and Ratner's theorems." The talk covered 1.1 of the text.

Wednesday September 18th (LS): Alex Kontorovich gave an introductory talk where it was established that the topic for the learning seminar will be Ratner's Theorems.

Wednesday September 11th (GNTS): Brooke Ogrodnik gave a talk entitiled "Reciprocal Geodesics"