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<< PrevMarch 24, 2008 - March 31, 2008Next >>
Mon 03/24
Tue 03/25
End: 12:20 pm
Start: Mar 25 2008 - 9:30am
End: Mar 29 2008 - 12:20pm
Scott Lab E 100

The Conference on Algebraic cycles focuses on algebraic cycles/motives and their connections with arithmetic and mathematical physics.

 



Pit-Mann Wong (University of Notre Dame)
Start: 2:30 pm
End: 3:30 pm
Location: DU 0016
DU 0016
The main purpose is to investigate the size of the base locus of the bundle of jet differentials over projective varieties of "general type". The main techniques are (1) a Schwarz Lemma of for jet differentials and (2) a "moving Lemma" for holomorphic liftings of entire holomorphic curves $f : \mathbf{C} \to M$. These reults are obtained via the Oka-Grauert-Principle for holomorphic jet bundles. The information on the size of the base locus will be used to establish results in hyperbolic geometry.

Elena E. Berdysheva (University of Hohenheim, Stuttgart, Germany)
Start: 2:30 pm
End: 3:18 pm
Location: MW 154
MW 154
In the talk we discuss the well-known Bernstein-Durrmeyer operators with Jacobi weights on the $d$-dimensional simplices, and their natural quasi-interpolants which were recently introduced by K.~Jetter and J.~Stoeckler. We review some known results and present our recent achievements in such topics as spectral analysis of the operators and the quasi-interpolants, estimates of Jackson-Favard type, direct theorems in terms of appropriate K-functionals as well as complete asymptotic expansions for the operators and the quasi-interpolants, and their derivatives. The talk includes results obtained jointly with K.~Jetter, J.~Stoeckler and U.~Abel.

Chris Miller (OSU)
Start: 3:30 pm
End: 4:30 pm
Location: SM 3082
SM 3082
The theory of subanalytic sets is an excellent tool in various 
analytic-geometric contexts. We axiomatize the notion of "behaving like
the category of subanalytic sets" by introducing the notion of
analytic-geometric category. The objects of such a category share many of
the hereditary and geometric finiteness properties of subanalytic sets.
Proofs of the more difficult results of this nature, like the
Whitney-stratifiability of sets and maps in such a category, often involve
the use of charts to reduce to the case of subsets of R^n. For subsets of

Wed 03/26
End: 12:20 pm
Start: Mar 25 2008 - 9:30am
End: Mar 29 2008 - 12:20pm
Scott Lab E 100

The Conference on Algebraic cycles focuses on algebraic cycles/motives and their connections with arithmetic and mathematical physics.

 



Thu 03/27
End: 12:20 pm
Start: Mar 25 2008 - 9:30am
End: Mar 29 2008 - 12:20pm
Scott Lab E 100

The Conference on Algebraic cycles focuses on algebraic cycles/motives and their connections with arithmetic and mathematical physics.

 



Chris Miller (OSU)
Start: 3:30 pm
End: 4:30 pm
Location: CC 212
CC 212
I will begin to discuss a recently submitted paper, joint with A. Dolich and C. Steinhorn, entitled "Structures having o-minimal open core". A preprint is available on my home page. This will take several meetings, so I will be the default speaker for a while whenever we don't have someone else booked. The open core of an expansion of a dense linear order is its reduct, in the sense of definability, generated by the collection of all of its open definable sets. We shall investigate expansions of dense linear orders that have o-minimal open core, with emphasis on expansions of densely ordered groups. The first main result establishes conditions under which an expansion of a densely ordered group has an o-minimal open core. The only requisite knowledge is basic definability theory and topology of ordered structures. Examples and applications will be addressed eventually, some of which will require some more sophisticated knowledge of model theory.

Fri 03/28
End: 12:20 pm
Start: Mar 25 2008 - 9:30am
End: Mar 29 2008 - 12:20pm
Scott Lab E 100

The Conference on Algebraic cycles focuses on algebraic cycles/motives and their connections with arithmetic and mathematical physics.

 



Pure-injectivity and cotorsion theories (The OSU-OU Ring Theory Seminar)
Pedro A. Guil Asensio (University of Murcia, Spain )
Start: 4:45 pm
End: 6:00 pm
Location: MW 154
MW 154
We show a general method for studying the category of flat modules in terms of indecomposable cotorsion modules (i.e., flat modules C such that $Ext1(F,C)=0 or any other flat module F). We also show how this technique can be extended for studying finitely accessible additive categories, cotorsion theories or certain Model Structures in categories of sheaves.

Sat 03/29
End: 12:20 pm
Start: Mar 25 2008 - 9:30am
End: Mar 29 2008 - 12:20pm
Scott Lab E 100

The Conference on Algebraic cycles focuses on algebraic cycles/motives and their connections with arithmetic and mathematical physics.

 



Sun 03/30
Mon 03/31
Richard Schoen (Stanford University)
Start: 4:30 pm
End: 5:30 pm
Location: MA240
MA240
We will discuss the geometric problem of classification of compact Riemannian manifolds of positive sectional curvature. In particular, we will describe our recent classification of pointwise 1/4-pinched manifolds. The work is joint with Simon Brendle and employs the Ricci flow.

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