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Seminars and Colloquiums
for the week of January 25, 2016


Shashikant Mulay, UTK, Monday
Jim Conant, UTK, Monday
Panel on UG Research Opportunities in Math, Thursday
Stefan Richter, UTK, Friday
David Zureick-Brown, Emory, Friday

3:00 – 3:30 pm, Ayres 401
Monday, Tuesday, & Wednesday
Hosted by Nate Pollesch

Monday, January 25th

TITLE: Organizational Meeting
SPEAKER: Shashikant Mulay, UTK
TIME: 3:35pm - 4:25pm
ROOM: Ayres 114
I have created a google sheet for scheduling talks of visitors as well as locals ... as soon as an outside visitor finalizes their visit plan, please put their name in at the date they speak.

TITLE: Organizational Meeting
SPEAKER: Jim Conant, UTK
TIME: 2:30pm – 3:20pm
ROOM: Ayres 113

Thursday, January 28th

TITLE: Panel on UG Research Opportunities in Math
TIME: 3:00pm - 4:00pm (Note: Regular time (3:40p – 4:35p) will resume at next Junior Colloquium)
ROOM: Ayres 405
In this JC, a panel of students and professors will be available to discuss research opportunities in mathematics. Students with research experience in various fields including mathematical biology, algebra, and topology will take part in the panel, as well as faculty members with experience mentoring undergraduate research projects. Members of the panel include Dr. Lenhart, Virgina Parkman, Chris Loa, and Adam LaClair. If you have any questions about undergraduate research and REU opportunities in mathematics, then this is a great place to get started.

Friday, January 29th

TITLE: Functions as quotients of multipliers
SPEAKER: Stefan Richter
TIME: 2:30pm - 3:20pm
ROOM: Ayres 121
It follows from a classical theorem of F. Riesz that every function in the Hardy space H^2 can be written as a quotient of two bounded analytic functions. I will discuss analogues of this result in spaces other than H^2.

TITLE: Graded rings of modular forms and canonical rings of stacky curves.
SPEAKER: David Zureick-Brown, Emory
TIME: 1:25pm-2:15pm
We give a generalization to stacks of the classical theorem of Petri -- i.e., we give a presentation for the canonical ring of a stacky curve. This is motivated by the following application: we give an explicit presentation for the ring of modular forms for a Fuchsian group with cofinite area, which depends on the signature of the group. This is joint work with John Voight.

TITLE: Diophantine and tropical geometry
SPEAKER: David Zureick-Brown, Emory
TIME: 3:35pm-4:25pm, Friday Jan 29
ROOM: Ayres 405
Diophantine geometry is the study of integral solutions to a polynomial equation. For instance, for integers a,b,c >= 2 satisfying 1/a + 1/b + 1/c < 1, Darmon and Granville proved that the individual generalized Fermat equation x^a + y^b = z^c has only finitely many coprime integer solutions. Conjecturally something stronger is true: for a,b,c >= 3 there are no non-trivial solutions.

I'll discuss various other Diophantine problems, with a focus on the underlying intuition and conjectural framework. I will especially focus on the uniformity conjecture, and will explain new ideas from tropical geometry and our recent partial proof of the uniformity conjecture.

If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar.

If you have questions, or a date you would like to confirm, please contact colloquium AT math DOT utk DOT edu

Past notices:




last updated: February 2016

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