Seminar on Geometric Aspects of Functional Analysis (GAFA) 2000-2001

Friday, November 3, 2000

1. Mikhail Sodin (Tel Aviv): Dimension free estimates of polynomials and analytic functions (joint with F. Nazarov and A. Volberg) 2. Boris Tsirelson (Tel Aviv): Logarithm of a Hilbert space

Friday, November 10, 2000

1. Michael Krivelevich (Tel Aviv): On the concentration of eigenvalues of random symmetric matrices 2. (Rehovot): MAX CUT and an isoperimetric inequal- ity on the sphere

Friday, November 24, 2000

1. Michael Entov (Rehovot): A symplectic proof of Schaffer’s conjecture in convex geometry (after J.C. Alvarez Paiva) 2. Jean-Michel Bismut (Orsay): Secondary invariants in real and complex geometry

Friday, December 15, 2000

1. William B. Johnson (College Station): Non linear quotients vs. non linear quotients (joint work with J. Lindenstrauss, D. Preiss and G. Schecht- man) 2. Marianna Csornyei (London): The visibility of invisible sets

Friday, December 29, 2000

1. David Preiss (London): Deformation with finitely many gradients 2. Peter Sarnak (Princeton): L-functions, arithmetic, and semiclassics: Lp norms of eigenfunctions on surfaces

Friday, January 26, 2001

1. Pavel Shvartsman (Haifa): Extension of Lipschitz mappings and the K- divisibility theorem (joint work with Yu. Brudnyi) 2. Roman Vershynin (Rehovot): Coordinate restrictions of operators 424

Friday, March 9, 2001

1. Elisabeth Werner (Cleveland): An analysis of completely-positive trace- preserving maps on M2 (joint work with M.B. Ruskai and S.J. Szarek) 2. Carsten Schutt (Kiel): Orlicz norms of sequences of random variables (joint work with Y. Gordon, A. Litvak and E. Werner)

Friday, March 30, 2001

1. Noga Alon (Tel Aviv): Testing subgraphs in large graphs 2. B´ela Bollob´as (Memphis and Cambridge): Large subgraphs of random graphs

Friday, May 11, 2001

1. Nicole Tomczak-Jaegermann (Edmonton): Families of random projections of symmetric convex bodies (joint work with P. Mankiewicz) 2. Vitali Milman (Tel Aviv): Some old problems in a new presentation

Friday, November 16, 2001

1. Marcel Berger (Bures-sur-Yvette): Metric geometry from Blumenthal to Gromov 2. Boaz Klartag (Tel Aviv): 5n Minkowski symmetrizations enough to ap- proximate a Euclidean ball starting any convex body

Friday, December 7, 2001

1. Anatolij Plichko (Lviv): Superstrictly singular operators 2. (): Girth and Euclidean distortion Israel Mathematical Union – Functional Analysis Meeting

(Organized by J. Lindenstrauss and G. Schechtman)

Friday, June 8, 2001

1. Assaf Naor (Hebrew University): Hyperplane projections of the unit ball n in p 2. (Hebrew University): On the work of Yaki Sternfeld in functional analysis 3. Mark Rudelson (University of Missouri): Embeddings of Levy families in Banach spaces 4. David Shoikhet (Technion and Ort Braude Karmiel): A non-linear ana- logue of the Lumer–Phillips theorem for holomorphic maps and applica- tions to the geometry of domains in Banach spaces 5. Gideon Schechtman (Weizmann Institute): Block bases of the Haar sys- tem as complemented subspaces of Lp 6. Vladimir Fonf (Ben Gurion University): The stochastic approximation property 7. (Tel Aviv University): Asymptotic behaviors of neighbor- hoods of sections of Sn with applications to local theory 8. Boris Rubin (Hebrew University): Radon transforms and fractional inte- grals on hyperbolic spaces Workshop on Convex Geometric Analysis Anogia Academic Village, Crete (August 2001)

(Organized by A. Giannopoulos, V. Milman, R. Schneider and S. Szarek)

Sunday, August 19

1. Keith Ball: The complex plank problem 2. Imre B´ar´any: 0-1 polytopes with many facets 3. Daniel Hug: Almost transversal intersections of convex surfaces and translative integral formulae 4. Markus Kiderlen: Determination of a convex body from Crofton-type averages of surface area measures 5. Ulrich Brehm: Moment inequalities and central limit properties of isotropic convex bodies 6. Yehoram Gordon: Local theory of convex bodies between zonotopes and polytopes 7. Boaz Klartag: Minkowski symmetrizations of convex bodies 8. Piotr Mankiewicz: Average diameters of projections of symmetric convex bodies n 9. Assaf Naor: The cone measure on the sphere of p

Monday, August 20

1. Peter Gruber: Recent results on asymptotic best approximation of convex bodies 2. Gideon Schechtman: A non-standard isoperimetric inequality with appli- cations to the complexity of approximating MAX CUT 3. Shiri Artstein: Proportional concentration phenomena on the sphere 4. Roman Vershynin: Restricted invertibility of linear operators and appli- cations 5. Monika Ludwig: Lp floating bodies 6. Matthias Reitzner: Stochastical approximation of smooth convex bodies 7. Karoly B¨or¨oczky: Polytopal approximation if the number of edges is re- stricted 8. Shlomo Reisner: Linear time approximation of three dimensional poly- topes 9. Szilard Revesz: A generalized Minkowski distance function and applica- tions in approximation theory 427

Tuesday, August 21

1. Alexander Koldobsky: Applications of the Fourier transform to sections of convex bodies 2. Hermann K¨onig: Sharp constants for Khintchine type inequalities 3. Alex Iosevich: The notion of a dimension of a convex planar set and applications to lattice points and irregularity of distribution 4. Yossi Lonke: Curvature via the q-cosine transform 5. Mihail Kolountzakis: Orthogonal bases of exponentials for convex bodies

Wednesday, August 22

1. Stanislaw Szarek: Duality of metric entropy 2. Richard Vitale: Convex bodies in Hilbert space: some metric issues, open problems 3. Marianna Csornyei: Absolutely continuous functions of several variables 4. Yves Martinez-Maure: Examples of analytical problems related to hedge- hogs (differences of convex bodies) 5. Matthieu Fradelizi: Some inequalities about mixed volumes 6. Antonis Tsolomitis: Volume radius of a random polytope in a convex body 7. Miguel Romance: Extremal positions for dual mixed volumes 8. AljoˇsaVolˇciˇc: Determination of convex bodies and reconstruction of poly- topes by certain section functions 9. Apostolos Giannopoulos: On the volume ratio of two convex bodies

Thursday, August 23

1. Rolf Schneider: On the mixed convex bodies of Goodey and Weil 2. Olivier Guedon: Supremum of a process in terms of the geometry of the set n 3. Krzysztof Oleszkiewicz:Onp -ball slicing and pseudo-p-stable random variables 4. Boris Kashin: N-term approximation 5. Vitali Milman: Random cotype-2 of normed spaces Conference on Geometric and Topological Aspects of Functional Analysis Haifa, Israel (May, 2002)

(In memory of Yaki Sternfeld. Organized by J. Arazy, Y. Benyamini, Y. Gordon, V. Harnik, S. Reich and S. Reisner)

Sunday, May 19

1. Vitali Milman (Tel Aviv, Israel): Can we recognize in a reasonable time that a convex body in a high-dimensional space is very far from an ellip- soid? 2. Marianna Csornyei (London, UK): Some periodic and non-periodic re- cursions 3. Michael Levin (Beer-Sheva, Israel): The Chogoshvili-Pontrjagin conjec- ture 4. Joram Lindenstrauss (Jerusalem, Israel): The work of Yaki Sternfeld in Functional Analysis 5. Jim Hagler (Denver, Colorado): The structure of hereditarily indecom- posable continua 6. Arkady Leiderman (Beer-Sheva, Israel): Basic families of functions and embeddings of free locally convex spaces

Monday, May 20

1. Nicole Tomczak-Jaegermann (Edmonton, Alberta): Families of random sections of convex bodies 2. Wieslaw Kubis (Beer-Sheva, Israel): Hyperspaces of separable Banach spaces with the Wijsman topology 3. Henryk Torunczyk (Warsaw, Poland): Equilibria in a class of games: ge- ometric and topological aspects 4. Paolo Terenzi (Milan, Italy): The solution of the basis problem 5. Boaz Klartag (Tel Aviv, Israel): Isomorphic Steiner symmetrization 6. Assaf Naor (Jerusalem, Israel): Entropy production and the Brunn- Minkowski inequality 7. Olga Maleva (Rehovot, Israel): On ball non-collapsing mappings of the plane 8. Michael Megrelishvili (Ramat Gan, Israel): Reflexively and unitarily rep- resentable topological groups 429

Tuesday, May 21

1. Edward W. Odell (Austin, Texas): Asymptotic structures in Banach spaces 2. Mark Rudelson (Columbia, Missouri): Phase transitions for sections of convex bodies 3. Haskell Rosenthal (Austin, Texas): Invariant subspaces for certain alge- bras of operators 4. Alexander Litvak (Edmonton, Alberta): Projections of quasi-convex bod- ies 5. David Preiss (London, UK): Measure and category do not mix or do they?

Wednesday, May 22

1. William B. Johnson (College Station, Texas): Lipschitz quotients 2. Eva Matouskova (Prague, Czech Republic): Bilipschitz mappings of nets 3. Tadeusz Dobrowolski (Pittsburg, Kansas): The simplicial approximation and fixed-point properties 4. Vladimir Fonf (Beer-Sheva, Israel): On the set of functionals that do not attain their norms n an 5. Gideon Schechtman (Rehovot, Israel): p ,11 6. Aleksander Pelczynski (Warsaw, Poland): Elliptic sections of convex bod- ies