Seminar Calendar
for CR Geometry Seminar events the next 12 months of Saturday, August 1, 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. 
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                        30 31

Monday, August 31, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, August 31, 2009
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Submitted by jlebl.
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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Submitted by jlebl.
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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Submitted by jlebl.
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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Submitted by jlebl.
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.

Monday, December 7, 2009

CR Geometry Seminar
3:00 pm   in 345 Altgeld Hall,  Monday, December 7, 2009
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Submitted by jlebl.
Alexander Tumanov (UIUC Math)
Duval's example: a torus in 3-sphere without attached holomorphic discs.
Abstract: Julien Duval gave an example with the above properties. He presented it at a Conference in honor of Pierre Dolbeault in 1992 but he never published it. I asked several people about it and now I am ready to put together all pieces of the puzzle.