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The University of Tennessee

Mathematics Department

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Seminars and Colloquiums
for 2010-2011

Week of March 28, 2011


Speaker:
Prof. Alexandre Karassev, Nipissing University, Canada, Monday
Professor Jan Rosinski, Monday
Ms. Sarah White, Tuesday
Professor Ohannes Karakashian, Wednesday
Professor Bill Ross, University of Richmond, Wednesday
Mr. Jay Wilkins, Wednesday
Professor Suzanne Lenhart, Thursday
Mr. Matt Turner, Friday
Professor Karen Vogtmann, Cornell, Friday


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, March 28

TOPOLOGY SEMINAR
TIME:   12:20 p.m. – 1:10 p.m.
ROOM:  Ayres Hall 406
SPEAKER: Prof. Alexandre Karassev, Nipissing University, Canada
TITLE:  "Spans of continua"
ABSTRACT: The concept of span was introduced by Andrew Lelek in 1964 and played a substantial role in continuum theory since then. Roughly speaking, the span of a space is the largest distance two travellers can keep between them while traversing the whole space. In this talk, we introduce several versions of span and discuss relations between them. Most of the spaces under consideration will be graphs. Some open problems will be posed. This talk is intended to be accessible to graduate students.

PROBABILITY SEMINAR
TIME:  3:35 – 4:25 p.m.
ROOM:  Ayres 114
SPEAKER: Professor Jan Rosinski
TITLE: "Identification of semimartingales within infinitely divisible processes"
ABSTRACT: Semimartingales constitute the larges class of "good integrators" for which Ito integral could reasonably be defined and the stochastic analysis machinery applied. In this talk we identify semimartingales within certain infinitely divisible processes. Examples include stationary (but not independent) increment processes, such as fractional and moving average processes, as well as their mixtures. Such processes are non-Markovian, often possess long range memory, and are of interest as stochastic integrators. The talk is based on a joint work with Andreas Basse-O'Connor.


Tuesday, March 29

MATH BIOLOGY SEMINAR
TIME:  9:45 – 10:35 p.m.
ROOM:  NIMBioS Classroom
SPEAKER: Sarah White
TITLE: "Biological Applications of Continuous Markov Chains", part 2


Wednesday, March 30

APPLIED/COMPUTATIONAL MATH SEMINAR
TIME:  3:35 - 4:30 p.m.
ROOM:  Ayres 111
SPEAKER:  Professor Ohannes Karakashian
TITLE:  "Adaptive Methods for Elliptic PDEs", Part VI  

ANALYSIS SEMINAR
TIME:  3:35 - 4:25 p.m.
ROOM:  Ayres 114
SPEAKER:  Professor Bill Ross, University of Richmond 
TITLE: "Evangelizing about truncated Toeplitz operators"
ABSTRACT: A few years ago, Don Sarason formalized the topic of truncated Toeplitz operators on model spaces with a beautiful survey paper. Since then several others have taken up this topic. In this talk, I will try to convince the audience that this area has many good results as well as some fascinating open problems.

DOCTORAL DEFENSE
TIME: 4:30 p.m.
ROOM:  Ayres 112
SPEAKER: Mr. Jay Wilkins
TOPIC: "Discrete Geometric Homotopy Theory and Critical Values of Metric Spaces"
His committee consists of Professors: Plaut (chair), Conant, Schwartz, and Guidry (Physics).


Thursday, March 31

JUNIOR COLLOQUIUM
TIME:  3:35 – 4:25 p.m.
ROOM:  Ayres 405
SPEAKER: Professor Suzanne Lenhart
TITLE: "Optimal Harvesting in Fishery Models"
ABSTRACT: We discuss two types of partial differential equation models of fishery harvesting problems.  We consider steady state spatial models and diffusive spatial-temporal models. We characterize the distribution of harvest effort which maximizes the harvest yield, and in the steady state case, also minimizes the cost of the effort.  We show numerical results to illustrate various cases.  The results inform ongoing debate about the use of reserves (regions where fishing is not allowed), and are increasingly relevant as technology enables enforcement of spatially structured harvest constraints.

Please come for pizza at 3:15.


Friday, April 1

DOCTORAL DEFENSE
TIME:  10:10 a.m.
ROOM:  Ayres 405
SPEAKER:  Mr. Matt Turner
TITLE: "Explicit Lp-norm estimates of infinitely divisible random vectors in Hilbert spaces with applications"
His committee consists of Professors: Rosinski (chair), Chen, Xiong, and Leitnaker (Statistics).

COLLOQUIUM
TIME:  3:35 – 4:25 p.m.
ROOM:  Ayres 405
SPEAKER:  Professor Karen Vogtmann, Cornell
TITLE: "Rigidity of automorphism groups of free groups"
ABSTRACT: The contemporary study of mapping class groups and outer automophism groups of free groups is heavily influenced by the analogy between these groups and lattices in semisimple Lie groups. It can be proved that these groups are not lattices, so the fact that they share many properties with lattices is intriguing and somewhat mysterious. In this talk I will focus on properties of automorphism groups of free groups which echo the strong rigidity properties enjoyed by lattices, i.e. properties which severely restrict the possibilities for homomorphisms between lattices.

Please stop by for refreshments in Ayres 401 at 3:15 p.m.


Past notices:

3_21_11.html

3_14_11.html

3_7_11.html

2_28_11.html

2_21_11.html

2_14_11.html

2_7_11.html

1_31_11.html

1_24_11.html

1_17_11.html

winter break

11_22_10.html

11_15_10.html

11_8_10.html

11_1_10.html

10_25_10.html

10_18_10.html

10_11_10.html

10_4_10.html

9_27_10.html

9_20_10.html

9_13_10.html

9_6_10.html

8_30_10.html

8_23_10.html

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