2565 McCarthy Mall ● Keller 401A ● Honolulu, Hawaii 96822
Phone (808) 956-4680 ● FAX (808) 956-9139
Wayne Smith, Chair Heiner Dovermann, Assoc. Chair J.B. Nation, Graduate Chair
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Welcome to the UH Department of
Mathematics Website

Colloquium & Seminar Schedule:
(Listing of Past Presentations)

Colloquium:

Mon., November 23, 2009, 3:30, Keller 401

Prof. Xander Faber

McGill University

Metric Graphs: The Poor Mathematician's Riemann Surface *or*
You're in Good Company if Someone Calls You One-Dimensional

Abstract: Metric graphs --- essentially Riemannian 1-manifolds with mild singularities --- share many features in common with Riemann surfaces (e.g., divisor class groups and spectral theory), and yet the analysis becomes much simpler in dimension one. In fact, it becomes so much simpler, that one can use this theory to motivate many interesting facts from complex analysis (e.g., the maximum modulus principle and Abel-Jacobi theory).

For a number theorist, these objects arise in the study of admissible metrics on an algebraic curve. For an analyst, there is an intriguing potential theory. For a geometer, they are the simplest class of tropical varieties. For a combinatorialist, they are direct limits of weighted graphs. For an applied mathematician, they are ideal models of resistive electrical networks. For me (recently), they have provided a fascinating link to arithmetic geometry. I plan to survey a bit of each of these theories.

Master's Degree Plan B Presentation:

Tues., December 1, 2009, 1:30, Room TBA

Ryo Mizuno

UHM Math. Depart.

Core and No-Treat Equilibrium in Tournament Games with Externalities

Abstract: We consider a situation where coalitions are formed to divide a resource. As in real life, the value of a payoff to a given player is allowed to depend on the payoff to other players with whom he shares a common interest. There are various notions of equilibrium for this type of game, including the core and no-treat equilibrium. These stabilities may exist or not, depending on the power structure and the rule for allocating the resource. It is shown that under certain conditions, the no-treat equilibrium can exist even though the core is empty. 

24th Automorphic Forms Workshop:
Workshop Website

March 22-26, 2010, University of Hawaii at Mānoa

Organizers:

Prof Pavel Guerzhoy and Zachary A. Kent

UH Department of Mathematics

Prof Ken Ono

Department of Mathematics, University of Wisconsin at Madison

Over the last 23 years, the Annual Automorphic Forms Workshop has remained a small and friendly conference. Those attending range from students, new PhD's, and established researchers. For young researchers, the conference has provided support and encouragement. For accomplished researchers, it offers the opportunity to mentor, and it provides a forum for exchanging ideas.

The workshop has become internationally recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants present cutting-edge research in all areas related to automorphic forms. These include Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, applications of modular forms, and many other topics.

In addition to research talks, the workshop has, in the past years, featured panel discussion sessions on the topics of grant writing, mentoring and research partnerships, REUs and outreach, and opportunities for international collaborations. Based on the success of these sessions, we plan to have similar panel sessions this year as well.