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, selflinked space curves, and recent results of Catanese, KleimanLipmanUlrich, 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 skewsymmetric morphism f : E^* > E(t) with E a vector bundle of odd rank.) 

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) 
Semistable conjecture for vertical logsmooth fibrations  
Monday  3:30 pm in JFB 102 
29 March  Adrian Vasiu (UC Berkeley) 
Shimura varieties and the MumfordTate conjecture Abstract  
31 March  Boris Dubrovin (SISSA and MSRI) 
Elliptic GromovWitten invariants and taufunctions  
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 thetacharacteristic. 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 HarbourneHirschowitz 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