Seminar Calendar
for events the day of Wednesday, April 16, 2003.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, April 16, 2003

RAP: Random planar curves, conformal invariance, and SLE
11:00 am   in 343 Altgeld Hall,  Wednesday, April 16, 2003
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Submitted by rbauer.
 Rinat Kedem (UIUC MATH)Fields and Ward Identities in Conformal Field Theory

String Theory RAP
1:00 pm   in 241 Altgeld Hall,  Wednesday, April 16, 2003
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Submitted by mcortez.
 Rahul Biswas (UIUC Physics)Mirror symmetry in dimension 1Abstract: Further information regarding this seminar may be found at: http://www.math.uiuc.edu/~katz/stringrap/

Complex Analysis RAP
2:00 pm   in 345 Altgeld Hall,  Wednesday, April 16, 2003
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Submitted by janne.
 Janne Heittokangas   [email] (UIUC Math)Solutions of w''+q(z)w=0 in Hardy spaces VII

Motivic Cohomology
3:00 pm   in 345 Altgeld,  Wednesday, April 16, 2003
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Submitted by dan.
 Oliver Röndigs   [email] (University of Western Ontario)Modules over motivic cohomologyAbstract: In joint work with Bjorn Ian Dundas and Paul Arne Ostvær, I constructed a model for the motivic stable homotopy category which is equipped with a nice smash product. Voevodsky's spectrum representing motivic cohomology extends to a commutative monoid in this model. There is a connection between the homotopy category of the category of modules over this monoid and the derived category of motives.

Computational Toplogy RAP
3:00 pm   in 447 Altgeld Hall,  Wednesday, April 16, 2003
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Submitted by ghrist.
 Shripad Thite (UIUC Computer Science)Testing homotopy classes on a punctured disc

Mathematics Colloquium: Coble Lectures
4:00 pm   in 245 Altgeld Hall,  Wednesday, April 16, 2003
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Submitted by laugesen.
 Walter Neumann (Columbia University)The Volume of Three-manifoldsAbstract: The lectures will trace the history of ideas of shape and size of space, following two threads. The dream that we might soon discover the global shape and size of our universe, as Eratostheness measured the spherical shape and size of the earth's surface over 2000 years ago, recently seemed not impossible, although this dream has suffered a setback with the inflation theory of the early history of the universe. At issue is the large scale curvature of the universe, which, if non-zero, would suggest a precise measure of volume in terms of a natural scale of length, together with theories of the origin of the universe that imply this volume should be small. Euclid's attempt to formalize the concept of volume eventually led to Hilbert's 3rd problem, which asked if a regular tetrahedron can be cut into finitely many polyhedral pieces that can be re-assembled to a cube. Although the problem was solved by Max Dehn the year Hilbert posed it, problems arising from it remain an active area of research, with ramifications in fields ranging from geometry to number theory. We shall start with a survey of this history and follow it to recent connections with other invariants of three-manifolds, including the Jones polynomial invariant of knots. At the same time we will discus what is known about the volume of three-manifolds, particularly the smallest ones. The Coble Lectures will be held at 4 p.m. April 15, 16 and 17. A reception will follow the April 16 lecture in General Lounge, Illini Union.