COMING SEMINARS

Elijah Liflyand Thursday, September 25, 2008: Colloquium
The Fourier transform of a general monotone function.
Elijah Liflyand, Bar Ilan University.
4:05-4:50 PM, RH302

Assaf Naor Thursday, October 2, 2008: Colloquium
Title to be announced
Assaf Naor, Courant Institute of Mathematical Sciences New York University.
4:05-4:50 PM, RH302

Martin Henk Thursday, October 16, 2008: Colloquium
Title to be announced.
Martin Henk, University of Magdeburg.
4:05-4:50 PM, RH302

Joel Spruck Thursday, April 16, 2009: Colloquium
Title to be announced.
Joel Spruck, Johns Hopkins University.
4:05-4:50 PM, RH302

Helmut Groemer Thursday, May 7, 2009: Colloquium
Title to be announced.
Helmut Groemer, University of Arizona.
4:05-4:50 PM, RH302


PAST SEMINARS
Ted Bisztriczky Thursday, May 8, 2008: Colloquium
Polytopes, Lattices and the Euclidean Algorithm
Ted Bisztriczky, University of Calgary.
4:05-4:50 PM, RH302

Helmut Groemer Thursday, May 1, 2008: Colloquium
How Jakob Steiner made his point.
Helmut Groemer, University of Arizona.
4:05-4:50 PM, RH302

Vitali Milman Thursday, April 24, 2008: Colloquium
The abstract concept of Duality and some examples
Vitali Milman, Tel-Aviv University.
4:05-4:50 PM, RH302

Semyon Alesker Thursday, April 24, 2008: Colloquium
A Fourier type transform on translation invariant valuations on convex sets
Semyon Alesker, Tel-Aviv University.
5:05-5:50 PM, RH302

Zhongmin Shen Wednesday, April 23, 2008: Special Colloquium
Some Global Rigidity Theorems in Finsler Geometry
Zhongmin Shen, Indiana University-Purdue University Indianapolis
5:05-5:50 PM, RH304

Joel Spruck Thursday, April 17, 2008: Colloquium
Locally convex hypersurfaces of constant curvature with boundary
Joel Spruck, Johns Hopkins University.
4:10-4:55 PM, RH302

Vladyslav Yaskin Thursday, April 10, 2008: Colloquium
Fourier transforms and determination of convex bodies.
Vladyslav Yaskin, University of Oklahoma.
4:05-4:50 PM, RH302

Maryna Yaskina Thursday, April 10, 2008: Colloquium
Christoffel's problem and the Fourier transform.
Maryna Yaskina, University of Oklahoma.
5:05-5:50 PM, RH302

Vladimir Oliker Thursday, April 3, 2008: Colloquium
The Aleksandrov problem of existence of hypersurfaces with given integral Gauss curvature and optimal mass transport on Sn
Vladimir Oliker, Emory University
4:05-4:50 PM, RH302
Christoph Haberl Thursday, March 20, 2008: Colloquium
Valuations and volume inequalities
Christoph Haberl, Technische Universitaet Wien.
4:05-4:50 PM, RH302

Friedemann Schuricht Thursday, March 13, 2008: Colloquium
Contact Problems in nonlinear elasticity
Friedemann Schuricht, TU Dresden
4:05-4:50 PM, RH302
A. M. Vershik Thursday, March 6, 2008: Colloquium
'Random series' --- what does it mean?
Anatoly M. Vershik, St. Petersburg Branch, Steklov Institute of Mathematics of the Russian Academy of Sciences
4:05-4:50 PM, RH302
Christian Steineder Thursday, February 28, 2008: Colloquium
An introduction to coding sequences and a link to convex geometry
Christian Steineder, Technische Universitaet Wien.
4:05-4:50 PM, RH302

Carsten Schutt Thursday, February 21, 2008: Colloquium
Simplices in the Euclidean ball
Carsten Schutt, University of Kiel.
4:05-4:50 PM, RH302

Elizabeth Werner Thursday, February 21, 2008: Colloquium
On Lp affine surface area
Elizabeth Werner, Case Western Reserve University.
5:05-5:50 PM, RH302

Franz Schuster Thursday, February 14, 2008: Colloquium
Crofton Measures and Minkowski Valuations
Franz Schuster, Technische Universitaet Wien.
4:05-4:50 PM, RH302

Jon Lenchner Thursday, February 7, 2008: Colloquium
Sylvester-Gallai Bounds for the Affine and Projective Planes.
Jon Lenchner, IBM Research.
4:05-4:50 PM, RH302

Eric L Grinberg Thursday, January 17, 2008: Colloquium
Tomography over maximally curved spheres.
Eric L Grinberg, University of New Hampshire.
4:05-4:50 PM, RH302

Mikail Ostrovskii Thursday, December 6, 2007: Colloquium
Minimal-volume projections of cubes and minimal-volume sufficient enlargements for normed spaces.
Mikhail Ostrovskii, St John's University.
4:05-4:50 PM, RH302

Emanuel Milman Thursday, November 29, 2007: Colloquium
The role of convexity in isoperimetry, spectral-gap and concentration.
Emanuel Milman, Institute for Advanced Study.
4:05-4:50 PM, RH302

Fengbo Hang Thursday, November 15, 2007: Colloquium
On a conformally invariant integral equation.
Fengbo Hang, Courant Institute of Mathematical Sciences New York University.
4:05-4:50 PM, RH302

Alain Pajor Thursday, November 1, 2007: Colloquium
Sampling convex bodies and Random Matrix Theory
Alain Pajor, Universite Paris-Est.
4:05-4:50 PM, RH302

Igor Rivin Thursday, October 18, 2007: Colloquium
Asymptotic geometry of convex sets
Igor Rivin, Temple University.
4:05-4:50 PM, RH302

Grigoris Paouris Thursday, October 11, 2007: Colloquium
Distribution of volume on convex bodies and the Hyperplane Conjecture
Grigoris Paouris, Courant Institute of Mathematical Sciences New York University.
4:05-4:50 PM, RH302
Janos Pach Thursday, October 4, 2007: Colloquium
Separator theorems and intersection patterns of convex sets
Janos Pach, City College.
4:05-4:50 PM, RH302

Assaf Naor Thursday, September 27, 2007: Colloquium
The Lipschitz extension problem
Assaf Naor, Courant Institute of Mathematical Sciences New York University.
4:05-4:50 PM, RH302

Pierre Vallois Thursday, May 18, 2007: Colloquium
Approximation via regularization of the local time of semimartingales and Brownian motion.
Pierre Vallois, Nance Universite.
4:05-4:50 PM, RH302
Helmut Groemer Thursday, May 3, 2007: Colloquium
On Sections of Star Bodies.
Helmut Groemer, University of Arizona.
4:05-4:50 PM, RH302
Bo Guan Thursday, April 19, 2007: Colloquium
Fully nonlinear elliptic equations in geometric problems.
Bo Guan, Ohio State University.
4:05-4:50 PM, LC102
Nicole Tomczak Thursday, April 19, 2007: Colloquium
Random nets and random embeddings of normed spaces l∞N
Nicole Tomczak-Jaegermann, University of Alberta.
5:05-5:50 PM, LC102
Rolf Schneider Thursday, April 12, 2007: Colloquium
Sums of congruent convex bodies.
Rolf Schneider, University of Freiburg.
4:07-4:52 PM, RH302
A. M. Vershik Thursday, March 8, 2007: Colloquium
Rigid metric spaces, universality, and randomness
A. M. Vershik, St. Petersburg Branch, Steklov Institute of Mathematics of the Russian Academy of Sciences
4:07-4:52 PM, RH302
Deane Yang Thursday, March 1, 2007: Colloquium
An Option-Theoretic Approach to the Valuation of Mortgage-Backed Securities
Deane Yang, Polytechnic University, Brooklyn
4:07-4:52 PM, JAB475
Maria Alfonseca Thursday, February 22, 2007: Colloquium
Some goemetric properties of intersection bodies.
Maria Alfonseca, North Dakota State University
4:07-4:52 PM, RH302
Boris Rubin Thursday, January 25, 2007: Colloquium
The Busemann-Petty Problem with the Generalized Axial Symmetry
Boris Rubin, Louisiana State University
4:07-4:52 PM, RH302
Tetsuo Asano Thursday, November 30, 2006: Colloquium
Distance Trisector Curves and Zone Diagram with Approximation Using Convex Distance Metrics
Tetsuo Asano, School of Information Science JAIST, Japan
4:07-4:52 PM, RH803
Franz Schuster Thursday, November 9, 2006: Colloquium
Minkowski valuations and geometric inequalities
Franz Schuster, Technical University of Vienna
4:07-4:52 PM, RH803
Meijun Zhou Thursday, November 2, 2006: Colloquium
Sharp Sobolev Inequalities from Historic and Geometric View Points
Meijun Zhu, University of Oklahoma, Norman
4:07-4:52 PM, RH803
Monika Ludwig

Thursday, July 27, 2006: Colloquium
Affine Geometry of Convex Bodies
Monika Ludwig, Technical University of Vienna
4:07-4:52 PM, RH605

Franz Schuster

Thursday, May 18, 2006: Colloquium
Classification of Rotation Intertwining Additive Maps and Applications
Franz Schuster, Technical University of Vienna
4:07-4:52 PM, RH605

Stefano Campi

Thursday, May 11, 2006: Colloquium
Variational problems for volumes of convex bodies
Stefano Campi, Universitá di Siena
4:07-4:52 PM, RH302

Helmut Groemer

Thursday, May 4, 2006: Colloquium
Parallel Bodies and the Normal Bundle of Convex Bodies
Helmut Groemer, University of Arizona
4:07-4:52 PM, LC102

Rolf Schneider

Thursday, May 4, 2006: Colloquium
Integral Geometry and Zonoids
Rolf Schneider, Albert-Ludwigs-Universität Freiburg
5:15-6:00 PM, LC102

Artem Zvavitch

Thursday, April 13, 2006: Colloquium
Gaussian Measure and Convex sets
Artem Zvavitch, Kent State University
4:07-4:52 PM, RH302

Thursday, March 16, 2006: Colloquium
Minima of a Sequence of Gaussian Random Variables
Carsten Schuett, University of Kiel
3:07-3:52 PM, RH302

Thursday, March 16, 2006: Colloquium
Approximation of Convex Bodies by Polytopes
Elisabeth Werner, Case Western University
4:07-4:52 PM, RH302

Thursday, March 2, 2006: Colloquium
Valuations on Polytopes
Monika Ludwig, Technische Universität Wien
4:07-4:52 PM, RH302

Thursday, February 23, 2006: Colloquium
Polynomials, Matrices, and Other Things
Igor Rivin, Temple University
4:07-4:52 PM, RH302

Thursday, February 16, 2006: Colloquium
Concave Functions and Convex Level Sets
Yakar Kannai, The Weizmann Institute
4:07-4:52 PM, RH302

Thursday, January 26, 2006: Colloquium
Mathematics, Finance and the Art of Pricing
Charles S. Tapiero, Polytechnic University
4:07-4:52 PM, RH302

Thursday, January 19, 2006: Colloquium
Area and Perimeter Bisectors of Convex Sets
Paul Goodey, University of Oklahoma (Norman)
4:07-4:52 PM, RH302

Tuesday, January 3, 2006: Colloquium
Uniformly Distributed Sequences of Partitions
Aljosa Volcic, Universitá della Calabria
4:07-4:52 PM, RH304

Thursday, December 8, 2005: Colloquium
Mahler's inequality and conjecture
A. C. Thompson, Dalhousie University, Halifax, Canada
4:07-4:52 PM, RH302

Thursday, December 1, 2005: Colloquium
Quantum Computation - an introduction
Marianna Bonanome, CUNY
4:07-4:52 PM, RH304

Thursday, November 17, 2005: Colloquium
Measuring ellipsoids
Igor Rivin, Temple University
4:07-4:52 PM, RH304

Thursday, November 10, 2005: Colloquium
On the Optimal Control of Partially Observed Systems
Alain Bensoussan, University of Taxas at Dallas
4:07-4:52 PM, RH304

Wednesday, November 9, 2005: Colloquium
Some analytic aspects of Ricci flow: a mini-survey
Bennett Chow, University of California - San Diego
4:07-4:52 PM, JAB678

Thursday, November 3, 2005: Colloquium
Reduction of randomness in some geometric constructions
Shiri Artstein, Princeton University
4:07-4:52 PM, RH304

Thursday, October 27, 2005: Colloquium
Hyperbolic van der Waerden and Valiant-Schrijver Conjectures
Leonid Gurvits, Los Alamos National Laboratories
4:07-4:52 PM, RH304

Monday, October, 24 2005: Colloquium
Functional versions of some geometric inequalities
Vitali Milman, Tel Aviv University
4:07-4:52 PM, RH302

Thursday, April 14, 2005: Colloquium
Valuations on manifolds and their properties
Semyon Alesker, Tel Aviv University
4:07-4:52 PM, RH304

Thursday, March 17, 2005: Colloquium
Double-Permutation Sequences and Pseudoline Transversals
Jacob E. Goodman, City College, CUNY
4:07-4:52 PM, RH304

Thursday, February 17, 2005: Colloquium
A characterization of Lp-affine surface area
Monika Ludwig, Technische Universität Wien
4:07-4:52 PM, RH304

Thursday, February 10, 2005: Colloquium
ZigZag approximation of the Euclidean ball
Vitali Milman, Tel Aviv University
4:07-4:52 PM, RH304

Thursday, January 27, 2005: Colloquium
A Fourier transform approach to the integrability of trigonometric series
Elijah Liflyand, Bar-Ilan University
4:07-4:52 PM, RH304

Thursday, December 16, 2004: Colloquium
On Willmore functional and Bonnesen-type inequalities
Jiazu Zhou, Guizhou Normal University, and Wuhan University, China
4:07-4:52 PM, RH304

Thursday, November 18, 2004: Colloquium
Combinatorial and Algorithmic Aspects of Hyperbolic Polynomials
Leonid Gurvits, Los Alamos National Laboratory
4:07-4:52 PM, RH304

Thursday, November 11, 2004: Colloquium
The slicing problem and geometric symmetrization methods
Bo'az Klartag, Institute of Advanced Study
4:07-4:52 PM, RH304

Thursday, October 28, 2004: Colloquium
On duality of metric entropy
Shiri Artstein, Princeton University
4:07-4:52 PM, RH304

Thursday, October 14, 2004: Colloquium
Simplicity vs Complexity in Convex geometry
Vital Milman, Tel Aiv
4:07-4:52 PM, RH304

Thursday, October 7, 2004: Colloquium
Directed Projection Functions of Convex Bodies
Paul Goodey, University of Oklahoma
4:07-4:52 PM, RH304

Thursday, September 30, 2004: Colloquium
Classification of Solutions of Integral Equations and Systems
Wenxiong Chen, Yeshiva College
4:07-4:52 PM, RH304

Thursday, May 20, 2004: Colloquium
`Desperately Seeking' a Generic Quantum P3
Michaela Vancliff, University of Texas at Arlington
4-5 PM, RH304

(Special Time!) Wednesday, April 28, 2004: Colloquium
See Ya Later Surfaces
Robert Bryant, Duke University and Columbia University
4:07-4:52 PM, RH304

Thursday, April 22, 2004: Colloquium
TBA
Dmitry Burago, Penn State University
4:07-4:52 PM, RH304

Thursday, April 15, 2004: Colloquium
TBA
Stephanie Alexander, University of Illinois at Urbana-Champaign
4:07-4:52 PM, RH304

Thursday, April 8, 2004: Colloquium
Affinely associated bodies
Monika Ludwig, Technische Universität Wien
4:07-4:52 PM, RH304

(Special Time!) Wednesday, March 24, 2004: Colloquium
Convergence of algorithms for reconstructing convex bodies
Richard Gardner, Western Washington University
4:07-4:52 PM, RH304

Abstract There are several natural ways to take measurements of an unknown object. One is by means of the support function, which gives for any direction the (signed) distance from some fixed point (usually the origin) to the hyperplane supporting the object orthogonal to that direction. There is also the possibility of measuring the brightness function, which for an $n$-dimensional object gives the $(n-1)$-dimensional volumes of its orthogonal projections onto hyperplanes; in other words, the areas of its shadows.

The talk will briefly describe some algorithms that reconstruct an approximation to a convex body from a finite number of noisy (that is, corrupted) measurements of one of the above types. In the case of brightness functions, the algorithms are the result of joint work with an electrical engineer, Peyman Milanfar. These algorithms have been implemented, and some sample reconstructions will be shown. The main topic of the talk is some very recent work with Milanfar and Markus Kiderlen in which the convergence of some of the algorithms is established, including estimates of the rates of convergence.

Thursday, March 11, 2004: Colloquium
The algebraic approach to integral geometry
Joseph Fu, University of Georgia
4:07-4:52 PM, RH304

Abstract. In 1974, A. Nijenhuis showed by means of direct calculations that by choosing normalizing constants appropriately the coefficients in the SO(n) kinematic formulas for the Hadwiger valuations may all be taken to equal unity. He went on to speculate that there exists an underlying algebraic structure that would explain this. It turns out that this structure does exist, based on S. Alesker's recent construction of a simple natural product on the space of valuations. Nijenhuis's dream is then fulfilled in the observation that the kinematic formulas endow the resulting algebra of SO(n)-invariant valuations with the further structure of what we call a sesquialgebra (another example of a sesquialgebra is the cohomology algebra of any compact oriented manifold).

In fact, from this perspective the SO(n) kinematic formula is the trivial first case in a series of problems associated to the integral geometry of other (smaller) groups acting transitively on the sphere. The next case, the unitary group, is more subtle, but we are able to give a recursive procedure for determining the associated sesquialgebra structure in successively higher dimensions.

Thursday, February 26, 2004: Colloquium
TBA
Alexander Koldobsky, University of Missouri-Columbia
4:07-4:52 PM, RH304

Department of Mathematics