For information on the upcoming Western Algebraic Geometry seminar, April 24th and 25th, click here.
| 20 January | Jian Kong (University of Utah) |
| Seshadri constants of Abelian varieties | |
| 27 January | Aaron Bertram (University of Utah) |
| Counting rational curves with a torus of a different color | |
| 3 February | János Kollár (University of Utah) |
| Rationally connected varieties over local fields | |
| 10 February | No talk |
| 17 February | Christopher Hacon (University of Utah) |
| Remarks on Seshadri constants of vector bundles | |
| 24 February | No talk |
| 3 March | Sorin Popescu (Columbia and MSRI) |
| Syzygies of subcanonical subschemes. Abstract:
I will describe joint work with D. Eisenbud and Ch. Walter on
resolutions by vector bundles. The idea is that coherent sheaves on projective space which are symmetric in a suitable sense have symmetric vector bundle resolutions. This generalizes results on surfaces with even sets of nodes, theta characteristics of plane curves, self-linked space curves, and recent results of Catanese, Kleiman-Lipman-Ulrich, Walter and others. I will also describe a structure result for Gorenstein subcanonical projective subschemes of codimension 3, and construct examples of smooth codimension 3 subcanonical varieties which are not Pfaffian (a projective subscheme of codimension 3 is Pfaffian if it is the degeneracy locus of a skew-symmetric morphism f : E^* --> E(t) with E a vector bundle of odd rank.) |
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| Friday | 3:30 pm in JWB 308 |
| 5 March | Yuri Tschinkel (University of Illinois at Chicago) |
| Points on rational varieties. Abstract:
We study the distribution of rational points of bounded height
on varieties closely related to linear algrebraic groups. |
|
| 10 March | Mohan Ramachandran (SUNY Buffalo) |
| On Complex hyperbolic manifolds and their structure at infinity | |
| 17 March | No talk (spring break) |
| 24 March | Wiesia Niziol (Utah) |
| Semi-stable conjecture for vertical log-smooth fibrations | |
| Monday | 3:30 pm in JFB 102 |
| 29 March | Adrian Vasiu (UC Berkeley) |
| Shimura varieties and the Mumford-Tate conjecture Abstract | |
| 31 March | Boris Dubrovin (SISSA and MSRI) |
| Elliptic Gromov-Witten invariants and tau-functions | |
| 7 April | Ravi Vakil (M.I.T.) |
| Twelve points on the projective line. Abstract: There are many ways to geometrically define a (PGL(2)-invariant) divisor in the variety of "12 points in P^1", Sym^{12}(P^1), isomorphic to P^{12}. For example: the 12 nodal cubics in a pencil of plane cubics; the branch points of a degree 4 map of a genus 3 hyperelliptic curve to P^1; the branch points of a genus 3 curve mapped to P^1 by the canonical sheaf; the branch points of a genus 4 curve mapped to P^1 by a theta-characteristic. We'll see that these divisors (and others) are all the same, by showing that the corresponding moduli spaces are covers of others. The links involve various beautiful classical constructions. | |
| 14 April | Bill Lang (Brigham Young University) |
| Pathologies of algebraic surfaces in characteristic p | |
| 21 April | Alexander Buium (University of Illinois at Urbana/Champaign) |
| Arithmetic jet spaces | |
| 24, 25 April | WAGS |
| 28 April | Rick Miranda (Colorado State University) |
| Linear Systems of Plane Curves with Prescribed Multiplicities: New Approaches to the Harbourne-Hirschowitz Conjecture |
We maintain an emailing list for special announcements,
extra talks etc. To be added to or deleted from this list, or with
questions or comments about the seminar, email Holger Kley
at kley@math.utah.edu.
Back to Department of Mathematics, Universty of Utah