Welcome to the Department of Mathematics

News

áøëåú ìæåëä áôøñ éðàé úùò"ä

øåñ ôéðñ÷é æëä áôøñ éðàé ìîöåéðåú áçéðåê à÷ãîé ìùðú úùò"ä.

ëì äëáåã!

àðé ùîç ìäåãéò ëé áñîñèø àáéá úùò"ä, ðáçøå òì-ôé öéåðé îùàì äîøöä äèåá

îøöä îöèééï èëðéåðé (äöèééðåú éúøä áäåøàä):

ôøåô' àåøé àìéàù, ã"ø òìéæä îì÷, ã"ø àáéá öðæåø, ã"ø ìéãéä ôøñ-äøé ùæëúä âí áúåàø îøöä îöèééðú îúîéãä

öéåï ìùáç òì äöèééðåú áäåøàä:

ôøåô' øåï äåìöîï, ôøåô' ÷åáé øåáéðùèééï, ôøåô"ç àãé îàéø-ååìó, ã"ø éåñé ëäï.

áøëåú ìëåìí òì äæëééä!

àìé

Faculty Activities
 Nonlinear Analysis and Optimization Seminar - Michel Chipot (University of Zurich)
29/11/2015, Sunday, 14:30
Type Seminar Nonlinear Analysis and Optimization Seminar Asymptotic issues in the calculus of variations Michel Chipot (University of Zurich) Room 814, Amado Mathematics Building, Technion Poster 1 Simeon Reich, sreich@tx.technion.ac.il 152 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo152
 Nonlinear Analysis and Optimization Seminar - Jonathan Breuer (Hebrew University)
29/11/2015, Sunday, 15:30
Type Seminar Nonlinear Analysis and Optimization Seminar Jacobi matrices and central limit theorems in random matrix theory Jonathan Breuer (Hebrew University) Room 814, Amado Mathematics Building, Technion The notion of an orthogonal polynomial ensemble generalizes many important point processes arising in random matrix theory, probability and combinatorics. Perhaps the most famous example is that of the eigenvalue distributions of unitary invariant ensembles (such as GUE) of random matrix theory. Remarkably, the study of fluctuations of these point processes is intimately connected to the study of Jacobi matrices. This talk will review our recent joint work with Maurice Duits exploiting this connection to obtain central limit theorems for orthogonal polynomial ensembles. Simeon Reich, sreich@tx.technion.ac.il 147 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo147
 Colloquium - Ron Rosenthal (ETH Zürich)
30/11/2015, Monday, 15:30
Type Colloquium Colloquium Quenched invariance principle for simple random walk on clusters of correlated percolation models Ron Rosenthal (ETH Zürich) Amado 232, Technion Quenched invariance principle (convergence in law to Brownian motion) for random walks on infinite percolation clusters and among i.i.d. random conductances in $\mathbb{Z}^d$ were proved during the last two decades. The proofs of these results strongly rely on the i.i.d. structure of the models and some stochastic domination with respect to super-critical Bernoulli percolation. Many important models in probability theory and in statistical mechanics, in particular, models which come from real world phenomena, exhibit long range correlations. In this talk I will present a new quenched invariance principle, for simple random walk on the unique infinite percolation cluster for a general class of percolation models on $\mathbb{Z}^d$, $d\geq 2$ with long-range correlations. This gives new results for random interlacements in dimension $d\geq 3$ at every level, as well as for the vacant set of random interlacements and the level sets of the Gaussian free field. An essential ingredient of the proof is a new isoperimetric inequality for correlated percolation models. Based on a joint work with Eviatar Procaccia and Artëm Sapozhnikov Danny Neftin, dneftin@tx.technion.ac.il 159 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo159
 Seminar in Probability and Stochastic Processes - Oren Louidor (Technion)
01/12/2015, Tuesday, 11:30
Type Seminar Seminar in Probability and Stochastic Processes Aging in a logarithmically correlated potential Oren Louidor (Technion) 861 Meyer Building (Hashmal), Technion We consider a continuous time random walk on the box of side length N in Z^2, whose transition rates are governed by the discrete Gaussian free field h on the box with zero boundary conditions, acting as potential: At inverse temperature \beta, when at site x the walk waits an exponential time with mean \exp(\beta h_x) and then jumps to one of its neighbors chosen uniformly at random. This process can be used to model a diffusive particle in a random potential with logarithmic correlations or alternatively as Glauber dynamics for a spin-glass system with logarithmically correlated energy levels. We show that at any sub-critical temperature and at pre-equilibrium time scales, the walk exhibits aging. More precisely, for any \theta &gt; 0 and suitable sequence of times (t_N), the probability that the walk at time t_N(1+\theta) is within O(1) of where it was at time t_N tends to a non-trivial constant as N \to \infty, whose value can be expressed in terms of the distribution function of the generalized arcsine law. This puts this process in the same aging universality class as many other spin-glass models, e.g. the random energy model. Joint work with Aser Cortines-Peixoto and Adela Svejda. Oren Louidor, oren.louidor@gmail.com 1633 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1633
 PDE and Applied Mathematics Seminar - Matania Ben-Arzi (Jerusalem)
01/12/2015, Tuesday, 14:30
Type Seminar PDE and Applied Mathematics Seminar FROM CRYSTAL OPTICS TO DIRAC OPERATORS: A SPECTRAL THEORY OF FIRST-ORDER SYSTEMS Matania Ben-Arzi (Jerusalem) Amado 814, Technion First-order systems of partial differential equations appear in many areas of physics, from the Maxwell equations to the Dirac operator. The aim of the talk is to describe a general method for the study ofthe spectral density of all such systems, connecting it to traces on the  (geometric-optical)  "slowness surfaces" . The Holder continuity of the spectral density leads to a derivationof the limiting absorption principle and global spacetime estimates. (based on joint work with Tomio Umeda). Baptiste Devyver, devyver@tx.technion.ac.il 121 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo121
Center for Mathematical Sciences Activities
 CMS Distinguished Lecture Series - Prof. Michael Larsen
28/12/2015, Monday, 15:30 - 31/12/2015, Thursday, 15:30
Type Lecture series CMS CMS Distinguished Lecture Series Prof. Michael Larsen Amado Building, room #232, Technion Technion – Israel Institute of Technology Center for Mathematical Sciences Supported by the Mallat Family Fund for Research in Mathematics Invites you to a DISTINGUISHED LECTURE SERIES Professor Michael Larsen Department of Mathematics, Indiana University Title of talks: "Linear Groups" Abstract: A linear group is any group of invertible matrices over a field. Many—perhaps one could even say say most—interesting groups can in fact be realized as linear groups, and this is often a useful thing to do, since there are powerful geometric tools for studying matrices. In my first two talks, I will discuss the structure theory of linear groups. A key role is played by linear algebraic groups, which are defined by polynomial equations in the matrix entries. I will discuss a wide range of results which assert, in one way or another, that well behaved groups are not too far from being linear algebraic. These include Jordan’s theorem and its extensions by Nori, Pink, and myself; the Peter-Weyl theorem; Hilbert’s Fifth Problem; the Chevalley-Pink Theorem; and the classification of finite simple groups.In my third talk, I will try to illustrate how these structural results, and more generally, the algebro-geometric point of view on group theory, can be used in applications to finite and finitely generated groups. Lecture I: Monday, 28 December, 2015 at 15:30 Lecture II: Tuesday, 30 December, 2015 at 15:30 Lecture III: Thursday 31 December, 2015 at 15:30 All lectures will take place at Auditorium 232, Amado Mathematics Building, Technion Light refreshments will be given before the talks in the Department of Mathematics' lounge on the 8th floor.  For administrative information please contact: Yael Stern, Workshop Coordinator Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il POSTER Poster cms@math.technion.ac.il 107 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo107
29/05/2016, Sunday, 09:00 - 02/06/2016, Thursday, 16:00
Type Conference CMS Whitney Extension Problems: Cm and Sobolev functions on subsets of Rn Amado Building, Auditorium 232, Technion Center for Mathematical Sciences invites you to: The 9th Whitney Extension Problems: Cm and Sobolev functions on subsets of Rn Sunday 29.5.16 - Thursday 2.6.2016 Technion, Haifa, Israel Registration is now open (click here to register)  Organizing Committee: Michael Cwikel & Pavel Shvartsman (Technion, Haifa, Israel) Sceintific Committee:  1. Alexander Brudnyi  ( University of Calgary, Canada) 2. Michael Cwikel   (Technion, Haifa, Israel) 3. Charles Fefferman (Princeton University, USA) 4. Andreea Nicoara  (Trinity College, Dublin, Ireland) 5. Pavel Shvartsman  (Technion, Haifa, Israel) 6. Nahum Zobin   (College of William and Mary, USA) The conference will focus on some of the most vibrant developments in function theory related to the celebrated Whitney extension and trace problems for classes of smooth functions. These include new analytic and geometric methods in the study of differentiable structures on finite sets, extension and trace problems for functions in Sobolev spaces and spaces of generalized smoothness defined on closed subsets of Rn, geometric description of Sobolev extension domains, etc. The purpose of the conference is to bring together an international group of experts in the areas of function theory and functional and geometric analysis to report on and discuss recent progress and open problems in the area of Whitney type problems and thus foster interaction and collaboration between researchers in these fields. Poster     Schedule     Abstracts     List of Participants   Objectives Getting from the airport         For information: Yael Stern- Conference Coordinator, Tel: +972-4-8294278 E-mail: cms@math.technion.ac.il LIST OF PARTICIPANTS , OBJECTIVES , Transportation and more , Shuttle , Excursion Information cms@math.technion.ac.il 108 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo108
20/07/2016, Wednesday, 09:00 - 26/07/2016, Tuesday, 17:00
Type Workshop Summer Workshop Algebriac, Topoligical & Combinatorical Approaches to Aut (Fn)-Summer School 2016 Amad0 323, Technion To be announced. cms@math.technion.ac.il 122 http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo122