Welcome to the Department of Mathematics

News

בצער רב אנו מודיעים על מותו של ד"ר ליאון ג'יני, אביה של ד"ר עליזה מלק.
Faculty Activities
15/03/2015, Sunday, 14:30
Type : Seminar
Name : Nonlinear Analysis and Optimization
Title : A local bounded feedback control bringing a linear system to equilibrium
Speaker : Alexander Ovseevich
Place : Room 814, Amado Mathematics Building, Technion
Abstract    
 We design a bounded feedback control steering a controllable
          linear system to equilibrium in finite time. The procedure
          amounts to solving a few linear-algebraic problems, including
          linear matrix inequalities. We solve these problems in an
          efficient way. The resulting steering time to equilibrium is
          of the same order of magnitude as the minimal one.


Submitted by : Simeon Reich, sreich@tx.technion.ac.il
Event № : 1386
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1386
15/03/2015, Sunday, 15:30
Type : Seminar
Name : Nonlinear Analysis and Optimization
Title : The numerical range of holomorphic mappings in geometric function theory
Speaker : David Shoikhet
Place : Room 814, Amado Mathematics Building, Technion
Abstract    
 The numerical range of holomorphic mappings arises in many
          aspects of nonlinear analysis, finite and infinite dimensional
          holomorphy, and complex dynamical systems. In particular, this
          notion plays a crucial role in establishing exponential and
          product formulas for semigroups of holomorphic mappings, the
          study of flow invariance and range conditions, geometric
          function theory in finite and infinite dimensional Banach
          spaces, and in the study of complete and semi-complete vector
          fields and their applications to starlike and spirallike
          mappings, and to Bloch (univalence) radii for locally
          biholomorphic mappings.
          In this talk, which is based on joint work with Filippo Bracci,
          Marina Levenshtein and Simeon Reich, we establish lower and
          upper bounds for the numerical range of holomorphic mappings in
          Banach spaces. In addition, we study and discuss some geometric
          and quantitative analytic aspects of fixed point theory, nonlinear
          resolvents of holomorphic mappings, Bloch radii, as well as radii
          of starlikeness and spirallikeness.

Submitted by : Simeon Reich, sreich@tx.technion.ac.il
Event № : 1399
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1399
22/03/2015, Sunday, 14:30
Type : Seminar
Name : Nonlinear Analysis and Optimization
Title : A new analysis of two proximal forward-backward algorithms with and without errors
Speaker : Daniel Reem
Place : Room 814, Amado Mathematics Building, Technion
Abstract    
 Many problems in science and engineering involve, as part of
          their solution process, the consideration of a minimization of
          a composite function F=f+g where f is smooth, g possibly not,
          and both are convex.
          The talk will discuss, in generalized settings, two proximal
          forward-backward algorithms aiming at solving this task. The
          first is FISTA, a popular accelerated method suggested by
          Beck-Teboulle. We consider it in Hilbert space and allow
          error terms which satisfy a certain decay rate. The notion of
          inexactness we discuss seems to be simpler than the ones
          discussed in related works but, interestingly, very similar
          decay rates of the error terms yield very similar non-asymptotic
          convergence rates (in the function values). Our derivation also
          sheds some light on the somewhat mysterious origin of some
          relevant parameters. In the the second method, which is
          non-accelerated, the setting is closed and convex subsets of
          reflexive Banach spaces where the proximal operation is based
          on a (strongly convex) Bregman divergence. Now, in contrast to
          previous works, the gradient of f may not be globally
          Lipschitz continuous. Under certain assumptions a non-asymptotic
          rate of convergence is established, as well as weak convergence
          of the whole sequence.
          This is a joint work with Alvaro De Pierro.
Submitted by : Simeon Reich, sreich@tx.technion.ac.il
Event № : 1402
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1402
Colloquium - Nati Linial (HUJI)
23/03/2015, Monday, 15:30
Type : Lecture
Name : Colloquium
Title : Random simplicial complexes: Where combinatorics, geometry and probability meet
Speaker : Nati Linial (HUJI)
Place : Sego 1, Technion
Abstract    
The probabilistic method is a pillar of modern combinatorics. One of its main incarnations is the study of random graphs, a theory that was initiated by Erdos and Renyi over 50 years ago. Their G(n,p) model is arguably the most basic model of random graphs. It was used in countless ways, from a method to generate graphs with unexpected properties to a tool for modeling natural phenomena and more. From a geometric perspective a graph is a one-dimensional simplicial complex, so it is natural to seek, likewise, a theory of random simplicial complexes. About ten years ago Roy Meshulam and I defined a high-dimensional counterpart of the G(n,p) model. Our work and subsequent work of Meshulam-Wallach established the high-dimensional counterpart of  the fact that the threshold probability for graph connectivity is p=log(n)/n. A notable discovery of Erdos and Renyi is a phase transition that occurs in G(n,p) at p=1/n with the birth of the giant component. As it turns out, the analogous high-dimensional story is substantially more complex, but in a recently completed series of papers we were able to uncover it. In my talk I will tell some of this fascinating story. The lecture will be essentially self-contained and I will not assume any particularly advanced background in the relevant domains.

This lecture is based on papers written jointly with: Lior Aronshtam, Tomasz Luczak, Roy Meshulam and Yuval Peled.
Submitted by : Ram Band, ramband@tx.technion.ac.il
Event № : 1383
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1383
Math Club - פרופ"ח ליאור ברי-סורוקר
25/03/2015, Wednesday, 16:30
Type : Seminar
Name : Math Club
Title : תורת המספרים מעל שדות סופיים
Speaker : פרופ"ח ליאור ברי-סורוקר
Place : Amado 231, Technion
Abstract    

פרופ"ח ליאור ברי-סורוקר

בית הספר למדעי המתמטיקה

אוניברסיטת ת"א

Associate Professor Lior Bary-Soroker

School of Mathematical Sciences

Tel Aviv University

 Math club 25.3.15

תורת המספרים מעל שדות סופיים   

מוקדם בהתפתחות תורת המספרים, הובחן כי לחוג המספרים השלמים יש תכונות משותפות רבות עם חוג הפולינומים מעל שדה סופי.  

מטרת ההרצאה היא להסביר את הקשר הזה ולספר על כמה תוצאות שהיום נחשבות לקלאסיות, כמו פתרון השערת רימן מעל שדות סופיים,

שמהווה את אחת התוצאות המרכזיות במתמטיקה של המאה ה 20. בסוף ההרצאה אספר על מחקר של השנים האחרונות בו פותרים

השערות עתיקות בתורת המספרים, למשל בעית התאומים הראשוניים, מעל שדות סופיים.

 Number Theory over Finite Fields

Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. 

The goal of the talk is to explain this connection, and to discuss several classical results, such as the resolution of the Riemann Hypothesis over finite fields, which is considered as one of the principal results of the 20th century. At the end of the talk, I plan to discuss recent studies in which the goal was to resolve ancient problems in number theory, such as the twin prime problem, over finite fields. 

 

 ההרצאה תהיה בעברית

The lecture will be in Hebrew

Submitted by : Shiri Kaplan-Shabat, mathapl@tx.technion.ac.il
Event № : 47
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo47
Center for Mathematical Sciences Activities
CMS Special Lecture Series - Prof. John Hinch
27/04/2015, Monday, 15:30 - 30/04/2015, Thursday, 15:30
Type : Lecture series
Name : CMS
Title : CMS Special Lecture Series
Speaker : Prof. John Hinch
Place : T.B.A, Technion
Announcement    

T.B.A

For further administrative information please contact: Shiri Kaplan- Shabat, CMS Coordinator

Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il

Submitted by : cms@math.technion.ac.il
Event № : 32
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo32
18/05/2015, Monday, 09:00 - 21/05/2015, Thursday, 16:00
Type : Conference
Name : CMS
Title : Conference in honor of Lin's 80th Birthday
Speaker :
Place : T.B.A, Technion
Announcement    

Center for Mathematical Sciences

Conference on

Algebraic Geometry, Braids, Analysis

Technion - Israel Institute of Technology, Haifa, Israel

May 18 - May 21, 2015

The conference is held on the occasion of

Professor Vladimir Lin's 80th birthday

Registration is now open until April 1st. 

 The aim of this conference is to bring together researchers working on algebraic geometry, braids, and analysis, and to discuss some of the recent developments and to identify important problems and new research directions.

 

Participants include:

M. Agranovsky         P. Kuchment                  A. Pinkus

T. Bandman              A. Libgober                   P. Russell

G. Belitskii                 V. Lin                            I. Scherbak

V. Bergelson              M. Lyubich                   V. Tkachenko

A. Brudnyi                  Y. Lyubich                    V. Vassiliev 

A. Eremenko              L. Makar-Limanov         B. Wajnryb         

S. Gindikin                  K. Masuda                    Y. Zarhin  

V. Gurarii                    V. Milman                     M. Zaidenberg 

S. Kaliman                  M. Miyanishi                V. Zinde-Walsh  

A. Khovanskii               A. Olevskii                   N. Zobin

M. Koras                     S. Orevkov                    

  

The conference is supported by

The Center for Mathematical Sciences at the Technion

and

The  Gelbart Institute for Mathematical Sciences, Bar-Ilan University

 

Scientific Committee: Joan Birman, Mikhail Sodin, Evgeniĭ Gorin

Organization Committee: Yehuda Pinchover, Michail Zhitomirskii

 

For further information please contact: Shiri Kaplan-Shabat (Conference Coordinator),

E-mail cms@math.technion.ac.il ; Phone: +972-(0)4-8294278

Conference Web page: http://www.math.technion.ac.il/cms/decade_2011-2020/year_2014-2015/Lin/

Files : List of ParticipantsPosterTransportation
Submitted by : cms@math.technion.ac.il
Event № : 33
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo33
17/06/2015, Wednesday, 09:00 - 24/06/2015, Wednesday, 16:00
Type : Workshop
Name : CMS
Title : Generalizations of Symmetric Spaces
Speaker :
Place : Nachsholim Resort, Technion
Announcement    

ERC                CMS

Workshop on Generalizations of Symmetric Spaces

17th-24th June, 2015

Registration is now open

Important Note: When booking your flight, please take into consideration that the conference shuttle leaves on June 17th at 10 am from Binyamina railway station, which is one hour by train from Ben Gurion airport. We thus recommend that you arrive either in the early morning of the 17th, or at the 16th. In the latter case we can help you find accommodation in Tel Aviv or Haifa for the night.

The  following mini-courses will be given:

Michel Brion (Institute Fourier) "Spherical Varieties"

Kai-Uwe Bux (Universität Bielefeld) "Finiteness Properties of Arithmetic Groups"

Dima Gourevitch (Weizmann Institute) "Multiplicity One Spaces"

Bertrand Rémy (École Polytechnique) "Compactifications of Buildings"

 

Additional research talks will be given by the participants

Organizers: Tobias Hartnick (Technion), Aloysius Helminck (NC State University), Ralf Köhl (JLU Gießen), Amos Nevo (Technion)

For further administrative information please contact: Shiri Kaplan- Shabat, Workshop Coordinator

Phone: +972-(0)4-8294276\8 Fax: +972-(0)4-8293388 E-mail: cms@math.technion.ac.il

Submitted by : cms@math.technion.ac.il
Event № : 34
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo34