Seminar Calendar
for events the day of Tuesday, March 2, 2010.

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Questions regarding events or the calendar should be directed to Tori Corkery. 
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Tuesday, March 2, 2010

Topology seminar
11:00 am   in Altgeld Hall 241,  Tuesday, March 2, 2010
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Submitted by bertg.
Jumpei Nogami (UIC)
On Derived K3 Surfaces
Abstract: We will discuss a generalization of K3 surfaces in derived algebraic geometry and their applications to stable homotopy theory.

Logic Seminar
1:00 pm   in 345 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by w-henson.
Konstantin Slutsky (UIUC Math)
Topological Similarity Classes in the Groups of Automorphisms of Some Randomly Ordered Fraisse Limits
Abstract: One of the reasons for the interest in Fraisse classes is the richness of the groups of automorphisms of their limits. We shall discuss groups of automorphisms of certain linearly ordered Fraisse limits and show that all topological similarity classes in them are meager. Examples will include: groups of automorphism of the rationals (as a linear ordering), of the randomly ordered random graph, and of the randomly ordered Urysohn space. The talk is based on joint work with Christian Rosendal.

Number Theory Seminar
1:00 pm   in 241 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by jarouse.
Joseph Vandehey (UIUC Math)
The normality of 0.w(1)w(2)w(3)w(4)w(5)...
Abstract: A normal number is a number whose digits appear statistically randomly. Many such numbers are constructed by taking an increasing sequence of numbers, such as all integers or all primes, and concatenating them after a decimal point. We present a new result that 0.w(1)w(2)w(3)... is normal too, where w(n) is the number of distinct prime divisors of n.

Graduate Student Algebraic Geometry Working Seminar
1:00 pm   in 347 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by mim2.
Steve Maguire   [email] (UIUC Math, 1-3PM)
Higher-Dimensional Algebraic Geometry (Part 1)
Abstract: I will give a lecture on Chapter 2 from Olivier Debarre's book titled Higher-Dimensional Algebraic Geometry. Chapter 2 covers parametrizing morphisms. We will first learn to parametrize all rational curves from P1 to PN. These morphisms of degree d form a quasi-projective variety Mord(P1,PN). We learn that these morphisms fit together to give us a universal morphism. We then obtain Mor(P1,PN), which is a locally Noetherian disjoint union of Mord(P1,PN) for d ≥ 0. We then generalize to the space Mor(Y,X) where Y is a projective variety and X is quasi-projective. We state and prove that the tangent space to Mor(Y,X) at [f] is isomorphic to H0(Y, Hom(f*ΩX, OY)). We then look at the local structure of Mor(Y,X) when X and Y are both projective. We begin the proof that Mor(Y,X) at [f] is locally defined by h1(Y,f*TX) equations in a nonsingular variety of dimension h0(Y,f*TX). I am left to prove that the dimension of any irreducible component of Mor(Y,X) through the point [f] is at least h0(Y,f*TX) - h1(Y,f*TX). We will continue with this section next week. All graduate students are welcome to attend as this is a friendly working environment.

Geometry Seminar
2:00 pm   in 243 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by sba.
John Mackay (UIUC Math)
Assouad Dimension of Self-Affine Carpets
Abstract: Sierpinski's carpet is a standard example of a self-similar fractal. McMullen and Bedford considered a generalization of its construction to self-affine sets in the plane that are not necessarily self-similar, and calculated the Hausdorff and upper Minkowski dimensions of these sets. In this talk we will look at the infinitesimal structure of these sets and calculate their Assouad dimension and (in the non-self-similar case) conformal Assouad dimension. All relevant notions will be defined and there will be a bunch of pictures.

Graph Theory and Combinatorics
3:00 pm   in 241 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by west.
W. Tom Trotter (Georgia Institute of Technology)
Recent progress on first-fit coloring of interval graphs
Abstract: For the last five years, we have believed that the performance ratio of First-Fit coloring for interval graphs was at least 5.0. This was rooted in a computer program that showed that it was at least 4.999996, and it is natural to believe that there is no sensible combinatorial problem with an answer between these two numbers. However, the proof turned out to be more challenging than expected. In this talk, we outline how the challenge was met. This is joint work with Hal Kierstead and David Smith.

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by llpku.
Dawei Chen (University of Illinois at Chicago)
Torus coverings and rigid curves on moduli spaces
Abstract: This work is motivated by two central questions in the birational geometry of moduli spaces of curves -- Fulton's conjecture and the effective cone of $\bar M_g$. We study Hurwitz spaces parameterizing torus coverings with a unique branch point. As applications, we show their rigidity, density and calculate their intersection numbers with divisor classes on the moduli spaces.

Graduate Analysis Seminar
4:00 pm   in 243 Altgeld Hall,  Tuesday, March 2, 2010
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Submitted by wgreen4.
Kelly Funk (UIUC Math)
Measure Preserving Homeomorphisms of the Torus: Part II
Abstract: This series of talks is based on a lecture by Frederic Le Roux given at the Università di Udine e Scuola Normale Superiore in Pisa, Italy. This is the second lecture on this topic and in this talk I will use some of the theorems discussed last week to show that several ergodic properties are generic in the space of volume preserving homeomorphisms of the torus. Specifically, we will show that non-strong mixing, weak mixing, and topologically transitive are generic properties. If you weren't able to make it last week you should still be able to follow the talk as I will recall some definitions and theorems that were proved. This talk should be accessible to most graduate students and everyone is encouraged to attend!!!