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The Elisha Netanyahu Memorial Lecture

High dimensional expanders and Ramanujan complexes

Professor Alex Lubotzky - Hebrew University of Jerusalem

April 1, 2015, at 17:00

Auditorium 231 Amado

ברכות חמות לסטודנטים לתואר ראשון ניצן טור ועשהאל רייטר

בעקבות הצלחתם בשלבים א' וב' של האולימפיאדה הארצית במתמטיקה לסטודנטים, זכו להצטרף לנבחרת ישראל שתשתתף באולימפיאדה הבינלאומית בקיץ.

עלו והצליחו!

ברכות לאורי שפירא על זכייתו בפרס קריל (KRILL) לשנת תשע"ה.

פרס קריל ניתן על הצטיינות מדעית ומוענק יל ידי קרן וולף היוקרתית.

הפרס הוא אות כבוד לאורי, לפקולטה למתמטיקה ולטכניון כולו.

Faculty Activities
Colloquium - Tsachik Gelander (Weizmann Institute)
30/03/2015, Monday, 15:30
Type : Seminar
Name : Colloquium
Title : On the structure of large volume manifolds
Speaker : Tsachik Gelander (Weizmann Institute)
Place : Benjamin Auditorium, Technion
Abstract    
The volume of a manifold is a single parameter that encodes many information, in particular about the topological complexity, but also at the local geometry at a random point.​
 After discussing this philosophy in the general framework of locally symmetric manifolds, I will restrict to hyperbolic manifolds and describe my recent work with Arie Levit. We showed that the volume enforces much stronger restrictions in the arithmetic case. As a consequence we deduce, beyond their existence (which was proved by Gromov and Piatetski-Shapiro) that non-arithmetic manifolds exhibit most of the family of finite volume hyperbolic manifolds. That is, counting up to commensurability, for large V, there are much more (about V^V) manifolds of volume <V than arithmetic ones (about ponymomially many).
Submitted by : Tobias Hartnick, hartnick@tx.technion.ac.il
Event № : 1440
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1440
31/03/2015, Tuesday, 11:30
Type : Seminar
Name : Seminar in Probability and Stochastic Processes
Title : The Uniform Spanning Forest of Planar Graphs
Speaker : Asaf Nachmias (TAU)
Place : Meyer bldg (elec. eng.), room 861. , Technion
Abstract    
The free uniform spanning forest (FUSF) of an infinite graph G is obtained as the weak limit of the law of a uniform spanning tree on G_n, where G_n is a finite exhaustion of G. It is easy to see that the FUSF is supported on spanning graphs of G with no cycles, but it need not be connected. Indeed, a classical result of Pemantle ('91) asserts that when G=Z^d, the FUSF is almost surely a connected tree if and only if d=1,2,3,4. 

In this talk we will show that if G is a plane graph with bounded degree and bounded number of edges to each face, then the FUSF is almost surely connected, answering a question of Benjamini, Lyons, Peres and Schramm ('01). An essential part of the proof is the circle packing theorem, which no knowledge of will be assumed.

Joint work with Tom Hutchcroft
Submitted by : Oren Louidor, oren.louidor@gmail.com
Event № : 1433
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1433
31/03/2015, Tuesday, 14:30
Type : Seminar
Name : PDE and Applied Mathematics Seminar
Title : Boundedness and unboundedness of the first eigenvalue of the Laplacian
Speaker : Lev Buhovski (TAU)
Place : Amado 814, Technion
Abstract    

I will talk about a certain topic related to the first eigenvalue of the Laplace-Beltrami operator on Riemannian manifolds. This topic was inspired by the beautiful theorem of Hersch about the first eigenvalue of the Laplacian on a Riemannian 2-sphere.

Submitted by : Ram Band, ramband@tx.technion.ac.il
Event № : 50
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo50
Combinatorics Seminar - Eli Berger (Univ. of Haifa)
01/04/2015, Wednesday, 13:30
Type : Seminar
Name : Combinatorics Seminar
Title : Tournaments and colouring
Speaker : Eli Berger (Univ. of Haifa)
Place : Amado 619, Technion
Abstract    
A tournament is a complete graph with its edges directed, and colouring a tournament means partitioning its vertex set into transitive subtournaments. For some tournaments H there exists c such that every tournament not containing H as a subtournament has chromatic number at most c (we call such a tournament H a hero); for instance, all tournaments with at most four vertices are heroes. In this talk we explicitly describe all heroes.

This is joint work with Krzysztof Choromanski, Maria Chudnovsky, Jakob Fox, Martin Loebl, Alex Scott, Paul Seymour and Stéphan Thomassé
Submitted by : Shira Zerbib, zgshira@tx.technion.ac.il
Event № : 1442
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=tm1442
Elisha Netanyahu Memorial Lecture - Professor Alex Lubotzky - Einstein Institute, Hebrew University of Jerusalem
01/04/2015, Wednesday, 17:00
Type : Lecture
Name : Elisha Netanyahu Memorial Lecture
Title : High dimensional expanders and Ramanujan complexes
Speaker : Professor Alex Lubotzky - Einstein Institute, Hebrew University of Jerusalem
Place : Auditorium 231 Amado Mathematics Building, Technion
Abstract    

Expander graphs have played, in the last few decades, an important role in computer science, and in the last decade, also in pure mathematics.  In recent years a theory of "high-dimensional expanders" is starting to emerge - i.e., simplical complexes which generalize various properties of expander graphs. This has some geometric motivations (led by Gromov) and combinatorial ones (started by Linial and Meshulam).  The talk will survey the various directions of research and their applications, as well as potential applications in math and CS.  Some of these lead to questions about buildings and representation theory of p-adic groups.

We will survey the work of a number of people. The works of the speaker in this direction are mainly with Tali Kaufman, David Kazhdan and Roy Meshulam.

Files : PosterInvitation
Submitted by : Shiri Kaplan-Shabat, mathsec@tx.technion.ac.il
Event № : 49
http://www.math.technion.ac.il/Site/events/EvntOffices/event.php?eid=eo49
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 : Monday 27.4- Segoh 1, Tuesday 28.4- room 814, Thursday 30.4- room 231, Technion
Announcement    

Center for Mathematical Sciences

Supported by the Mallat Family Fund for Research in Mathematics

Invites you to a

SPECIAL LECTURE SERIES

Professor John Hinch

Department of Applied Mathematics and Theoretical Physics

 University of Cambridge

 

 Lecture I: Explaining the behavior of elastic liquids

Monday, 27 April, 2015 at 15:30, Segoh, Segoh 1.

Lecture II: Viscous `drops' falling on a coated vertical fibre

(quite technical and mathematical)

Tuesday, 28 April, 2015 at 15:30, Amado, Room 814.

Lecture III: Fluctuations in the sedimentation of particles in a suspension

(review including resolution of long standing paradox)

Thursday 30 April, 2015 at 15:30, Amado, Auditorium 231.

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

Files : Prof. John Hinch
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

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