ULM Algebra Group Seminar

Spring 2005 talks:

• Friday, February 25, 2005

  Serpil Saydam (ULM), Characterizations of sets of prime ideals (continued)

  Abstract: Continuing from last week, we will finish the characterization of prime spectrum of Z_(2)[x].

• Friday, February 18, 2005

  Serpil Saydam (ULM), Characterizations of sets of prime ideals

  Abstract: We will review basic terminology and some results related to prime spectra of two-dimensional Noetherian domains. Then, we will discuss sets of axioms which describe the prime spectrum of Z[x] and a polynomial ring in one variable over a countable semilocal Noetherian one-dimensional domain.

• Friday, February 4, 2005

  Jonathan Cox (ULM), An introduction to moduli problems and moduli spaces: Moduli functors and stacks

  Abstract: Continuing from last week, we will finish the proof that isomorphism classes of elliptic curves are in one-to-one correspondence with the points of the affine line. Then we will give the more modern definition of a moduli problem in terms of a moduli functor and examine different types of moduli spaces that can result, including fine moduli spaces, coarse moduli spaces, and moduli stacks. We will briefly explore the concept of stacks as time permits.

• Friday, January 28, 2005

  Jonathan Cox (ULM), An introduction to moduli problems and moduli spaces: A first example

  Abstract: We will begin describing in rough terms what a moduli space is. Then, after reviewing selected foundational material from algebraic geometry, we will focus on a classical example of a moduli space, the variety of moduli for elliptic curves.