Boston and Tufts Universities Seminar on Vector Bundles on Curves
Meets at:
- PSY53 Psychology Building, Basement 53, Boston University, 64-72-86 Cummington St. BU Campus Map
- Anderson Hall room 208 Anderson Hall is at the intersection of College Ave and Boston Ave (in Medford) and across the parking lot from the Math Department (Bromfield Pearson building), Tufts University. Contact List
Schedule
Introduction
Emma Previato
Tuseday, Sept. 5, at 2:00 PM, Boston University
Jacobians
Emma Previato
Tuesday, Sept. 12, at 2:00 PM, Boston
University
Basic Properties of Vector Bundles and Extensions
Montserrat Teixidor
Thursday, Sept. 21, at 2:30 or 3:00 PM,
Tufts University
Vector bundles on rational and elliptic curves
Montserrat Teixidor
Thursday, Sept. 28, at 2:30 PM,
Tufts University
Quotients and moduli spaces ( GIT)
Peter Newstead
Thursday, Oct. 12, at 2:30 PM,
Boston University
Abstract:
We will discuss the concept of quotient (orbit space, categorical, geometric and good quotients) and its use in the construction of moduli spaces. We will describe in particular the construction of affine and projective quotients using geometric invariant theory. The content will be similar to that of Lecture 1 of my "Polish" notes See here
Construction of moduli spaces of vector bundles on curves
Peter Newstead
Thursday, Oct. 19, at 2:30 PM,
Tufts University
Geometry of the moduli spaces
Peter Newstead
Thursday, Oct. 26, at 2:30 PM,
Boston University
Brill-Noether Theory for vector bundles
Montserrat Teixidor
Thursday, Nov. 2, at 2:30 PM,
Tufts University
Vector bundles on singular curves and limit linear series for higher rank
Montserrat Teixidor
Thursday, Nov. 9, at 2:30 PM,
Tufts University
The Langlands program: from arithmetic to conformal field theory
Matt Szczesny
Thursday, Nov. 16, at 3:30 PM, Boston University, Room MCS153
Joint with the
BU Mathematical Physics Seminar
Abstract:
This will be a very elementary attempt to trace the sequence of analogies that lead from the Langlands program for global ĝelds to the geometric for- mulation given by A. Beilinson and V. Drinfeld. I will attempt to explain the formulation of the latter in the language of conformal field theory and illustrate the abelian case (geometric abelian class field theory).
Thanksgiving, No Seminar
Thursday, Nov 23
The Grothendieckk-Riemann-Roch Theorem
Steven Rosenberg
Thursday, Nov. 30, at 4:30 PM,
Boston University, Mathematics Department, room MCS B33 Cummington St.
Theta divisors on Vector Bundles on Curves
Montserrat Teixidor
Thursday, Dec. 7, at 2:30 PM,
Tufts University
Bibliography
- P. E. Newstead, Introduction to moduli problems and orbit spaces. Tata Institute of Fundamental reseach, Lecture notes in Mathematics and Physics 51, 1978. link
- S.Mukai, An introduction to invariants and moduli. Translated from the 1998 and 2000 Japanese editions by W. M. Oxbury. Cambridge Studies in Advanced Mathematics, 81. Cambridge University Press, Cambridge, 2003. link
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