We will plan talks and speakers for the semester and decide if this is the best time to meet

*Note the new room.

We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2, stable vector bundles, with fixed determinant of odd degree, on curves C of genus g\geq2. We prove that the maximally rationally connected quotient of such a component is either the Jacobian of the curve C, or a direct sum of two copies of the Jacobian. We show that moduli spaces of rational curves on M are in one-to-one correspondence with moduli of rank 2 vector bundles on the surface P^1\times C.

Lie algebra cohomology will be defined and compared to corresponding de Rham cohomology on smooth Lie groups.

This will be an introductory talk in the semester-long seminar being organized by Brian Martensen. I will describe some examples and indicate various directions of current research interest.

Abstract: I will give an elementary introduction to Fabers conjectures on the moduli space of curves -- assuming no prior knowledge of algebraic geometry, and then give an analogous conjecture for the locus of hyperlliptic curves. The analog can be stated in very concrete and elementary terms; if you know about Poincare duality for real manifolds you know more than enough to understand the question. None the less I think it is quite non-trivial and surprising, and a solution would involve a nice mix of geometry and combinatorics.

This will be a quick meeting to set up the talks for this semester's SophEx series. SophEx is a seminar intended for first- and second-year students, all of whom should plan to attend!

These talks are intended to serve as an introduction to the models of the interest rate term structure. I hope to discuss models of both the short rate and the forward rate, as well as the issues of pricing and hedging of contingent claims under such models.

We will try to set the schedule of speakers for the Fall 2002 Semester.

This is a continuation of last week's talk.

This seminar is intended for graduate students. Questions related to the Navier-Stokes and the Euler equations will be the main topic. We will study some old and more recent papers in this area. Interested faculty are welcome too.

I'll explain what inverse limit spaces are, and then show that (nearly) all spaces of tilings can be modeled as inverse limits of branched manifolds.

We will get organized for the coming semester. R. de la Llave will report on a conference that took place Sept 4-7. The regular meeting time will be Wed. at 4:00pm in RLM 9.166

These talks are intended to serve as an introduction to the models of the interest rate term structure. I hope to discuss models of both the short rate and the forward rate, as well as the issues of pricing and hedging of contingent claims under such models.