Seminar Calendar
for CR Geometry Seminar events the year of Wednesday, November 4, 2009.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery. 
     October 2009          November 2009          December 2009    
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Monday, February 2, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, February 2, 2009
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Submitted by jlebl.
Jiri Lebl (Department of Mathematics, University of Illinois)
Mappings between hyperquadrics

Monday, February 9, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, February 9, 2009
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Dusty Grundmeier (Department of Mathematics, University of Illinois)
Asymptotic properties of group invariant CR mappings
Abstract: In this talk, we study families of group-invariant CR mappings from spherical space forms to hyperquadrics. We investigate how the numbers of positive and negative eigenvalues of the target hyperquadric are related to the representation of the group.

Monday, February 16, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, February 16, 2009
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Alexander Tumanov (Department of Mathematics, University of Illinois)
Mappings of quadrics and Siegel domains.
Abstract: I will discuss some results on mappings of real quadrics of higher codimension in complex space that I obtained more than 20 years ago. Some of them are still current. In particular, I will discuss rigidity and local characterization of biholomorphic automorphisms and proper holomorphic maps of classical and Siegel domains.

Monday, February 23, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, February 23, 2009
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Dirk Hundertmark (UIUC Math)
Cancelled

Monday, March 2, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, March 2, 2009
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Submitted by jlebl.
Alexander Tumanov (UIUC Math)
Mappings of quadrics and Siegel domains
Abstract: I will prove that local CR mappings for a large class of quadrics of higher codimention are rational. As a result, proper holomorphic mappings of Siegel domains are birational.

Monday, March 16, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, March 16, 2009
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Submitted by jlebl.
Dirk Hundertmark (UIUC Math)
Schr"odinger operators and complex numbers
Abstract: I'll discuss a recent approach to ac spectrum for discrete Schr"odinger operators on graphs due to Froese, Hasler, and Spitzer.

Monday, April 6, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, April 6, 2009
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Submitted by jlebl.
Dirk Hundertmark (UIUC Math)
Schr"odinger operators and complex numbers, part II

Monday, April 27, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, April 27, 2009
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Dirk Hundertmark (UIUC Math)
Schr"odinger operators and complex numbers, part III

Monday, May 4, 2009

CR Geometry Seminar
3:00 pm   in 141 Altgeld Hall,  Monday, May 4, 2009
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Dirk Hundertmark (Department of Mathematics, University of Illinois)
Schrödinger operators and complex numbers, part III
Abstract: This time we mean it.

Monday, August 31, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, August 31, 2009
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Jiri Lebl (UIUC Math)
Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
Abstract: We will prove and organize some results on the normal forms of Hermitian operators composed with the Veronese map. We apply this general framework to prove two specific theorems in CR geometry. First, extending a theorem of Faran, we will classify all real-analytic CR maps between any hyperquadric in $\C^2$ and any hyperquadric in $\C^3$, resulting in a finite list of equivalence classes. Second, we will prove that all degree-two CR maps of spheres in all dimensions are spherically equivalent to a monomial map, thus obtaining an elegant classification of all degree-two CR sphere maps.

Monday, September 14, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, September 14, 2009
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John P. D'Angelo (UIUC Math)
Iterated commutators of complex vector fields

Monday, September 21, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, September 21, 2009
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Alexander Tumanov (UIUC Math)
Beltrami operator on the torus

Monday, September 28, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, September 28, 2009
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Jiri Lebl (Department of Mathematics, University of Illinois)
Polynomials Constant on a Hyperplane and CR Maps of Hyperquadrics
Abstract: In joint work with Han Peters we have proved sharp degree estimates for polynomials constant on a hyperplane in dimension 3. The motivation for the work are CR maps of spheres and hyperquadrics.

Monday, October 19, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, October 19, 2009
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Submitted by jlebl.
Cancelled

Monday, November 2, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, November 2, 2009
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Submitted by jlebl.
Alexander Tumanov (Department of Mathematics, University of Illinois)
Iterated commutators, holomorphic dimension, and analytic discs.
Abstract: Following comments by Giuseppe Zampieri, I will present a simple proof of the main result of the 50 page paper by Diederich and Fornaess of 1978 on analytic sets in pseudoconvex boundaries.

Monday, November 9, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, November 9, 2009
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Submitted by jlebl.
Alexander Tumanov (Department of Mathematics, University of Illinois)
Iterated commutators, holomorphic dimension, and analytic discs II.
Abstract: Following comments by Giuseppe Zampieri, I will present a simple proof of the main result of the Annals paper by Diederich and Fornaess of 1978 on analytic sets in pseudoconvex boundaries.