Department of Mathematics

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The Calderon Problem - From the Past to the Present

by Leo Tzou | Stanford
Time: 14:00  (Thursday, Jan. 21, 2010)
Location: BA6183, 40 St. George St
Abstract:
The problem of determining the electrical conductivity of a body by making voltage and current measurements on the object’s surface has various applications in fields such as oil exploration and early detection of malignant breast tumour. This classical problem posed by Caldero ́n remained open until the late ’80s when it was finally solved in a breakthrough paper by Sylvester-Uhlmann. In the recent years, geometry has played an important role in this problem. We will look at the connection between this analysis problem with seemingly unrelated fields such as symplectic geometry and differential topology as well as geometric scattering theory. The speaker is partially supported by NSF Grant No. DMS-0807502

Dates in this series

· Thursday, Jan. 21, 2010: The Calderon Problem - From the Past to the Present (Leo Tzou)

· Wednesday, Feb. 03, 2010: Indecomposable characters on the group S(2^∞) (Artem Dudko)

· Wednesday, Feb. 10, 2010: Self-referencing Recursions and Labeled Binary Trees (Abraham Isgur)

· Wednesday, Feb. 17, 2010: Introduction to the Well-posedness Theory of (Dispersive) PDEs (Hiro Oh)

· Wednesday, Mar. 03, 2010: Renormalization and universality in one-dimensional dynamics: critical circle maps (Michael Yampolsky)

· Wednesday, Mar. 10, 2010: The Dimer Model on a Planar Domain: From random domino tilings to limit shapes (Alex Bloemendal)

· Wednesday, Mar. 17, 2010: The Planar Dimer Model, continued (Alex Bloemendal)

· Thursday, Sep. 16, 2010: The calculus of Euler characteristic and some of its application (Dmitry Kerner)

· Thursday, Oct. 07, 2010: Equivalences of the Axiom of Choice (Mike Pawliuk)

· Thursday, Oct. 21, 2010: Covering arrays with row limit four (Nevena Francetic)

· Thursday, Oct. 28, 2010: Which groups are Lie groups? (Yevgeniy Likuomovich)

· Thursday, Nov. 04, 2010: All started with Weyl (Victor Ivrii)

· Thursday, Nov. 11, 2010: Sparse structures in Euclidean space (Dominic Dotterrer)

· Thursday, Nov. 18, 2010: A short introduction to curve singularities (Dmitry Kerner)

· Thursday, Nov. 25, 2010: Newton diagrams and applications (Dmitry Kerner)

· Thursday, Dec. 02, 2010: Convergence and smoothing properties of Steiner symmetrizations and other simple rearrangements (Almut Burchard)

· Tuesday, Jan. 11, 2011: TeXFreak (Victor Ivrii)

· Wednesday, Jan. 26, 2011: Two-sided chain condition in Leavitt path algebras (Pinar Colak)

· Tuesday, Feb. 01, 2011: SPECIAL GRADUATE SEMINAR -- How to classify algebraic varieties (Chenyang Xu)

· Wednesday, Feb. 02, 2011: Enrico Bombieri and the Prime Number Theorem (John Friedlander)

· Wednesday, Feb. 16, 2011: Basic Financial Derivatives and the Black-Scholes PDE (Ryan Donnelly)

· Wednesday, Mar. 09, 2011: Classical mechanics and symplectic geometry (Jonathan Fisher)

· Thursday, Mar. 17, 2011: On Computability of Julia sets (Artem Dudko)

· Wednesday, Mar. 23, 2011: Variational optimization in economics (Robert McCann)

· Wednesday, Mar. 30, 2011: Exact formulas in random growth and directed polymers (Jeremy Quastel)

· Wednesday, Apr. 06, 2011: Kitaev's quantum double model for topological quantum computation -- representations, higher categories and extended TQFTs (Lucy Zhang)

· Wednesday, Apr. 13, 2011: Tropicalization and Connection to Secondary Fans (Jihyeon Jessie Yang)

· Thursday, Sep. 29, 2011: Probabilistic Cauchy Theory and Invariant Measures for Hamiltonian PDEs (Geordie Richards)

· Thursday, Oct. 13, 2011: The cohomology ring of the GKM graph of a flag manifold (Yukiko Fukukawa)

· Friday, Nov. 04, 2011: Representations of the full group of a Bratteli diagram (Artem Dudko)

· Thursday, Nov. 10, 2011: How to Solve a Cubic Equation? (Askold Khovanskii)

· Thursday, Nov. 24, 2011: Rate of escape of random walks on groups (Balint Virag)

· Thursday, Dec. 01, 2011: Some aspects of geometric measure theory (Robert Jerrard)

· Thursday, Jan. 19, 2012: Bounded generation, congruence subgroups and the splitting of primes (Kumar Murty)

· Thursday, Jan. 26, 2012: How to solve a quintic polynomial? (Yuri Burda)

· Thursday, Feb. 02, 2012: Dynamics on the circle (Elio Mazzeo)

· Thursday, Feb. 09, 2012: How to keep a can from sliding down an incline (and make it roll instead) (David Li-Bland)

· Thursday, Mar. 15, 2012: Arithmetic graphs and the sum-product phenomenon (Brandon Hanson)

· Thursday, Mar. 22, 2012: Two Inverse Problems in Medical Imaging (Nicholas Hoell)

· Thursday, Mar. 29, 2012: Enveloping algebras of nonassociative structures (Marina Tvalavadze)

· Thursday, Nov. 08, 2012: Airy's rainbow and Stokes' mist: asymptotics through the prism of geometry (Brent Pym)

· Thursday, Dec. 13, 2012: C*-algebras and the Classification Program (Danny Hay)

· Thursday, Jan. 17, 2013: Why is the Riemann Hypothesis a big deal? (Asif Zaman)