**Seminars and Colloquiums
for 2010-2011
Week of October 25, 2010**

**Speaker:**

Professor Joan Lind, Monday

Mr. Amit Kaushal, Monday

NIMBioS Special Seminar, Tuesday

Mr. Keith Penrod, Wednesday

Professor Stefan Richter, Wednesday

### If you are interested in giving or arranging a talk for one of our seminars or colloquiums,

### 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 Dr. Fernando Schwartz.

** Monday, October 25**

PROBABILITY SEMINAR

TIME: 10:10 – 11:00 am

ROOM: Temple 303

SPEAKER: Professor Joan Lind

TITLE: "Holder regularity of the SLE trace"

ABSTRACT: For each k > 0, the Schramm-Loewner Evolution trace is a random two-dimensional curve. We will discuss bounds on the Holder regularity of these curves.

ALGEBRA SEMINAR

TIME: 3:35 – 4:25 pm

ROOM: AC 113A

SPEAKER: Amit Kaushal

TITLE: "Absolute Values on Q (part 2)

ABSTRACT: We will prove the classical result of Ostrowski that every non-trivial absolute value of Q is equivalent to either the usual one (the Archimedean case) or a p-adic one (the non-Archimedean cases).

Tuesday, October 26

NIMBioS SPECIAL SEMINAR

TIME: 11:00 am

ROOM: 403B, Blount Hall, 1534 White Ave.

SPEAKER: Dave McCandlish, NIMBioS Short-Term Visitor, Dept. of Biology, Duke University

TITLE: "Evolution on the fitness landscape: A spectral approach to analysis and visualization"

Join NIMBioS for a special seminar with short-term visitor Dave McCandlish, who will be discussing the fitness landscape, which is used to visualize the relationship between genotypes and reproductive
success. The fitness landscape is a classical concept in evolutionary biology, but the structure of the fitness landscape and its effects on evolutionary dynamics are difficult to understand because the space of genotypes is typically high-dimensional. McCandlish will present an approach to understanding evolution on the fitness landscape when mutation is weak so that evolution can be modeled as a Markov chain over the set of genotypes. It turns out that the eigendecomposition of the transition matrix describing this Markov chain provides a natural way of thinking about the effects of the fitness landscape on the evolutionary dynamics. This eigendecomposition also suggests a method for creating
low-dimensional representations of fitness landscapes that can easily be applied to very large fitness landscapes. McCandlish will show and explore several of these visualizations.

Wednesday, October 27

TOPOLOGY SEMINAR

TIME: 12:20 – 1:10 pm

ROOM: BEC 202

SPEAKER: Keith Penrod

TITLE: "Infinite Product Spaces - 4"

ANALYSIS SEMINAR

TIME: 3:35 – 4:25 p.m.

ROOM: AC 113

SPEAKER: Professor Stefan Richter

TITLE: Boundary behavior and invariant subspaces in spaces of analytic functions, 2

**Past notices:**

Seminars from 2009-2010 academic year

Seminars from 2008-2009 academic year

Seminars from 2007-2008 academic year

Seminars from 2006-2007 academic year

Seminars from 2005-2006 academic year