Program: Interactions Between Ergodic Theory,
Number Theory and Noncommutative Geometry
Department of Mathematics • The Ohio State University
100 Math Tower • 231 West 18th Avenue • Columbus, OH 43210-1174
Phone: (614) 292-4975 • Fax: (614) 292-1479

Organized by: Vitaly Bergelson, James Cogdell, Alain Connes, Avner Friedman, Roman Holowinsky, Wenzhi Luo, Henri Moscovici and Nimish Shah.

qrcode The Department of Mathematics at the Ohio State University, in conjunction with the Mathematics Research Institute, will be running a program during the 2011-2012 academic year entitled Interactions Between Ergodic Theory, Number Theory and Noncommutative Geometry.

Collaborative work among the fields of Ergodic Theory and Number Theory, with applications to quantum chaos in particular, has recently led to new and exciting results. At the same time, surprising links with Noncommutative Geometry have been established via an interesting connection between the operator algebra formalism of quantum statistical mechanics and arithmetic.

We hope to raise awareness and increase collaboration between researchers in all of these fields through a series of workshops to be held during this special program. Some financial support will be available for young researchers and graduate students thanks to funding from the Mathematics Research Institute, the National Science Foundation and The Ohio State University.


Workshops and Conferences - click here to view the previous workshop

Noncommutative Geometry: Multiple Connections. May 7-18, 2012

Colloquium and Lecture Series
Alain Connes (1) Arithmetic of the BC-system and Witt construction.
(abstract)
(2) Colloquium: Shapes and spectra.
(abstract)
(3) Towards an Archimedean analogue of the Fontaine theory II
(abstract)
(4) TBA
(abstract)


Talk Titles/Abstracts
Schedule of special events:
  1. Mon May 7th: Week 1 Registration 9:00 - 9:30 am, Outside Cockins Hall 240
  2. Mon May 7th: Reception 5:45 - 8:00 pm, Math Tower - 7th Floor Lounge.
  3. Wed May 9th: Cash Bar 5:45 pm, Banquet 6:15 - 8:00 pm, Faculty Club
  4. Mon May 14th: Week 2 Registration 9:00 - 9:30 am, Outside Cockins Hall 240
  5. Mon May 14th: Reception 5:45 - 8:00 pm, Math Tower - 7th Floor Lounge.
  6. Wed May 16th: Cash Bar 5:45 pm, Banquet 6:15 - 8:00 pm, Faculty Club
Please send any questions related to the conference to Roman Holowinsky via e-mail.
Michael Björklund (ETH) Biharmonic functions on groups, measurable cross ratios and central limit theorems. (abstract)
Gautam Chinta (CUNY) Recent results in multiple Dirichlet series.
(abstract)
Caterina Consani (JHU) Towards an Archimedean analogue of the Fontaine theory I.
(abstract)
Gunther Cornelissen (Utrecht) Curves, dynamical systems, and weighted point counting.
(abstract)
Joachim Cuntz (Münster) C*-algebras associated with endo- and polymorphisms of compact abelian groups (based on a joint article with A.Vershik). (abstract)
Alex Gamburd (CUNY Grad Center) Expander Graphs, Thin Groups and Superstrong Approximation.
(abstract)
Dorian Goldfeld (Columbia) Distribution of low-lying zeros for GL(3) families of L-functions.
(abstract)
Alexander Gorokhovsky (Colorado) Higher analytic indices and symbolic index pairing.
(abstract)
Rostislav Grigorchuk (TAMU) Schreier Dynamical Systems, totally non-free actions, and self-similar
C*-algebras. (abstract)
Piotr M. Hajac (IMPAN) Free actions of compact quantum groups on unital C*-algebras.
(abstract)
Masoud Khalkhali (UWO)Spectral Zeta Functions and Scalar Curvature for Noncommutative Tori (joint work with Farzad Fathizadeh). (abstract)
Marcelo Laca (UVIC) Phase transition for algebraic integers and ideal classes.
(abstract)
Jeff Lagarias (Michigan) The Lerch zeta function and noncommutative geometry.
(abstract)
Giovanni Landi (Trieste) On the geometry of quantum projective spaces.
(abstract)
Hanfeng Li (Buffalo) Entropy and $L^2$-torsion
(abstract)
Francois Ledrappier (Notre Dame) Entropy rigidity of non positively curved symmetric spaces.
(abstract)
Jianya Liu (Shandong) The Mobius function and distal flows.
(abstract)
Sheng-Chi Liu (TAMU) Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts. (abstract)
Oliver Lorscheid (Wuppertal) Chevalley groups over F1.
(abstract)
Stephen Miller (Rutgers) Rallis's representations and string theory
(Joint work with Michael Green and Pierre Vanhove). (abstract)
Hugh Montgomery (Michigan) Geometric properties of the Riemann zeta function.
(abstract)


Sergey Neshveyev (Oslo) Bost-Connes systems associated with function fields.
(abstract)
Ryszard Nest (Copenhagen) Index theorem and torsion of n-tuples of Toeplitz operators.
(abstract)
Hervé Oyono-Oyono (Metz) Some generalisations of the gap-labeling.
(abstract)
Sorin Popa (UCLA) On the classification of II$_1$ factors arising from free groups acting on spaces. (abstract)
Cristian Popescu (UCSD)An equivariant main conjecture in Iwasawa theory and applications.
(abstract)
Florin Radulescu (Roma) Free groups, $Sl(2,z[1/p])$'s, Countable, measure preserving equivalence relations and Ramanujan Petersson Conjectures. (abstract)
Bahram Rangipour (UNB) Transverse characteristic classes in codimension 2.
(abstract)
Marc Rieffel (Berkeley) Challenges of Leibniz seminorms.
(abstract)
Klaus Schmidt (Vienna) Entropy and the growth rate of periodic points for principal algebraic $Z^d$-actions. (abstract)
Christian Skau (NTNU) Toeplitz flows and their K-theory.
(abstract)
Ralf Spatzier (Michigan) Global Rigidity of Higher Rank Actions on Tori and Nilmanifolds.
(abstract)
Nicolas Templier (Princeton) Harmonic families of automorphic representations.
(abstract)
Dan Thompson (PSU) A criterion for topological entropy to decrease under normalised Ricci flow.
(abstract)
Jacob Tsimerman (Harvard) Results of Ax-Lindemann type and the Andre-Oort Conjecture.
(abstract)
Mariusz Wodzicki (Berkeley) Infinitesimal Geometry and Arithmetic.
(abstract)
Bora Yalkinoglu (Max-Planck) On p-adic Bost-Connes systems and Lubin-Tate theory.
(abstract)
Yi-Jun Yao (Fudan) On K-theory of some noncommutative orbifolds.
(abstract)
Matthew Young (TAMU) Mass distribution for Hecke eigenforms.
(abstract)
Guoliang Yu (Vanderbilt) Group actions and operator K-theory.
(abstract)
Steve Zelditch (Northwestern) Quantum ergodicity on compact hyperbolic surfaces $X$ and distributions on the space $\mathcal{G}(X)$ of its geodesics. (abstract)
Michael Zieve (Michigan) Factorization of maps between curves, and noncommutative analogues of Lüroth's theorem. (abstract)
Participants (to be confirmed*)

In addition to the speakers listed above, the following will also be in attendance:
  • Suliman Albandik (Göttingen)
  • Jean-Baptiste Aujogue (Lyon)
  • Don Blasius (UCLA)
  • James Borger (ANU)
  • Lisa Carbone (Rutgers)
  • Phu Chung (Buffalo)
  • Farzad Fathizadeh (York)
  • Brooke Feigon (CUNY)
  • Alex Fish (Wisconsin)
  • Walter Freyn (Münster)
  • John Griesmer (OSU)
  • Simon Henry (ENS)
  • Jaiung Jun (JHU)
  • Xiaoqing Li (Buffalo)
  • Bingbing Liang (Buffalo)
  • Yongxiao Lin (Buffalo)
  • Joe Migler (Colorado)
  • Ali Moatadelro (UWO)
  • Ryan Rosenbaum (Colorado)
  • Jean Savinien (Metz)
  • Satoshi Takagi (Kyoto)
Conference and Colloquium posters available for download:

Conference Schedule (held in CH240 accessible through the Math Tower)

WEEK 1
NT & NCG
Monday 05/07 Tuesday 05/08 Wednesday 05/09 Thursday 05/10 Friday 05/11
9:00 am - 9:30 am Registration CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240
9:30 am - 10:30 am B. Yalkinoglu S. Miller A. Connes (1) K. Consani A. Connes (3)
10:30 am - 11:00 am Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240
11:00 am - 12:00 pm M. Zieve G. Cornelissen D. Goldfeld A. Gamburd C. Popescu
12:00 pm - 1:30 pm Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge
1:30 pm - 2:30 pm J. Tsimerman J. Liu H. Montgomery M. Young N. Templier
2:45 pm - 3:45 pm O. Lorscheid C. Skau J. Lagarias G. Chinta S-C. Liu
3:45 pm - 4:30 pm Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge
4:30 pm - 5:30 pm G. Yu S. Zelditch A. Connes (2) F. Radulescu H. Friedman
After Hours Reception 5:45 - 8:00 pm
Math Tower 7th Floor


Nearby Events (unaffiliated)

Concert: The Features
Nearby Events (unaffiliated)

Concert: St Vincent
Theatre: The Great Game
Afghanistan

Arts: Mothers Day
Candle Making
Banquet 5:45 pm
Faculty Club


Nearby Events (unaffiliated)

Concert: A. Eldan (cello)
and Y. Manor (piano)
Nearby Events (unaffiliated)

Arts: Pecha Kucha
Music: Justin Moore
Music: Jazz @ Mirror Lake
Bar/Music: The Meadery
Circus: Ringling Bros
Music: VHS or Beta
Food: $100 charity event
Nearby Events (unaffiliated)

Music: Jazz and Juleps
Park: Home Run Derby
and Concert

Dancing: Salsa
Bar: Wine Happy Hour
Food: Olive Oil
Wine Tasting

Concert: Red Wanting Blue
Circus: Ringling Bros



Unaffiliated Weekend activities: For more options, see experiencecolumbus.com

Sunday 05/06
Saturday 05/12 Sunday 05/13 Saturday 05/19
North Market: Artisan Sunday
Exhibit: Ernst Caramelle
Public Art: Plein Air Painting
Music: Persian Musical Feast
Food Hop Taste and Make
Walking Tour: Short North Food
Food Tour: Desserts
Walking Tour: German Village Food
Sport: Pepsi, Field of Dreams
Music: Whitechapel
Exhibit: Best of 2012
Circus: Ringling Bros
Garden Market: German Village
Music: Jacob Fred Jazz Odyssey
Sport: Columbus Crew Soccer
Exhibit: Ernst Caramelle
Conservatory: Blooms and Butterflies
Public Art: Parking Attendant Booths
Public Art: Key Bank
Public Art: Plein Air
Exhibit: Let's get digital
Art and Food: Eye candy
North Market: Artisan Sunday
Theatre: The 39 Steps
Circus: Ringling Bros
Music: Simply Sinatra
Walking Tour: Short North
Theatre: The 39 Steps
Columbus Jazz Orchestra




WEEK 2
ET & NCG
Monday 05/14 Tuesday 05/15 Wednesday 05/16 Thursday 05/17 Friday 05/18
9:00 am - 9:30 am Registration CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240
9:30 am - 10:30 am A. Connes (4) G. Landi R. Grigorchuk K. Schmidt R. Nest
10:30 am - 11:00 am Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240 Coffee/Tea outside CH240
11:00 am - 12:00 pm S. Neshveyev S. Popa J. Cuntz M. Rieffel P. M. Hajac
12:00 pm - 1:30 pm Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge Lunch in 7th floor lounge
1:30 pm - 2:30 pm A. Gorokhovsky B. Rangipour F. Ledrappier H. Li 30 min contributed talks:
Ali Moatadelro
John Griesmer
2:45 pm - 3:45 pm H. Oyono-Oyono R. Spatzier D. Thompson M. Bjorklund Open Discussion
3:45 pm - 4:30 pm Coffee/Tea in 7th floor lounge Coffee/Tea outside CH240 Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge Coffee/Tea in 7th floor lounge
4:30 pm - 5:30 pm M. Khalkhali M. Wodzicki R. Lyons M. Laca
After Hours Reception 5:45 - 8:00 pm
Math Tower 7th Floor


Nearby Events (unaffiliated)

Concert: Maps and Atlases
Nearby Events (unaffiliated)

Exhibit: Ernst Caramelle
Sports: Columbus Clippers
Banquet 5:45 pm
Faculty Club


Nearby Events (unaffiliated)

Exhibit: Ernst Caramelle
Theatre: The 39 Steps
Nearby Events (unaffiliated)

Bar and Music: The Meadery
Exhibit: Ernst Caramelle
Theatre: The 39 Steps
Sports: Columbus Clippers
Music: Star Slinger
Nearby Events (unaffiliated)

Bar and Music: The Meadery
Exhibit: Ernst Caramelle
Dancing: Salsa
Food Tour: Ethnic
Theatre: The 39 Steps
Sports: Columbus Clippers
Music: Ben Folds
Music: Mowtown Edition
Columbus Jazz Orchestra
Six String Concerts


Information for visitors

Lodging

Lodging for speakers has been arranged for the nights of of their stay at The Hampton Inn and Suites Columbus-Downtown. The Hampton Inn is conveniently located between the Short North and Arena District with a large selection of restaurants and entertainment nearby. It is about a 45 minute walk/20 minute bus ride/10 minute cab ride to the OSU Math Department.


The Hampton Inn

The Math Tower

The Hampton Inn offers a complimentary breakfast and taxi service to and from campus.

From The Hampton Inn to Math Tower

Transportation

Taxi service is available from the airport to The Hampton Inn as well as all other destinations in the Columbus area. The taxi line up is located just out front of the airport on the same level as the baggage claim and the fare to Columbus will be approximately 25-30 USD. The trip to The Hampton Inn should take approximately 15 minutes.

To arrange transportation back to the airport from the hotel, please speak with the front desk at your hotel. If you are leaving directly from the conference, we will be happy to help arrange a taxi for you from the university to the airport.

If one wishes to explore Columbus by car, a convenient hourly "car sharing" option is provided for members by Hertz On Demand, www.hertzondemand.com. The Hertz vehicles are parked all around campus and the nearest vehicles are no more than a 5-10 minute walk from the conference location. There are also several car rental companies scattered throughout Columbus and of course at the airport. However, parking at the hotel will cost $23 per night.

Public transportation is also a convenient way to explore some of the city. The number 2 cota buses run up and down High st. and pass roughly every 10 minutes during the weekdays (perhaps less frequently on the weekends). It is a 20 minute ride between the OSU campus and the Short North area which contains some of the best dining, shopping and attractions which Columbus has to offer. The number 7 bus will also take you from campus to the hotel and is much less crowded than the number 2. However, it does not run as frequently as the number 2 and takes a slightly less direct route.

See Google maps for directions and to see the arrival time of the next 3 available buses:

From Airport to The Hampton Inn

Seeing Columbus (Food and Drink)

There are several areas of Columbus worth visiting if one has the time. For a list of events happening around Columbus, visit www.experiencecolumbus.com.

Restaurants and Pubs Near the Hotel:
The Hampton Inn is situated between the Short North and Arena District. There are a variety of restaurants/bars for you to choose from in that area. Here are a few favorites based on proximity to the hotel.
    Same block as hotel.
  1. Knead - casual. local. sandwiches, pasta, cocktails. in front of hotel.
  2. DeepWood - business casual. everything. in front of hotel.
  3. North Market - casual. fantastic farmers market. contains several small ethnic eateries inside. turn right onto the side street when exiting the hotel. COFFEE
    Going north up High Street from the hotel into Short North.
  1. Hyde Park Prime Steakhouse - business casual. steak.
  2. Marcella's - casual to business casual. standard italian, but always crowded.
  3. Lemon Grass - casual to business casual. thai fusion. some great dishes here.
  4. Betty's - casual. bar fare.
  5. Tasi - casual. great BRUNCH. one block east off high from Betty's.
  6. Mac's - casual. bar fare.
  7. Jeni's Splendid Ice Creams - ice cream. a columbus favorite.
  8. Impero - coffee roaster and cafe. COFFEE
  9. Bodega - a bit far from the hotel (0.8 mile) but a great selection of beer.
    Going south on High Street from the hotel toward downtown.
  1. Japanese Steak House - Japanese steak house.
  2. Barley's Brewing - pub with bar fare and microbrews.
  3. Martini Modern Italian - trendy. Italian food and cocktails.

Other Restaurants and Pubs:
If one wishes to venture out a bit further from the hotel then there are also several restaurants, pubs and cafes worth trying in downtown and the German Village.
    Downtown.
  1. Cafe Brioso - coffee roasters and cafe in downtown. COFFEE
  2. El Arepazo - casual Venezuelan.
  3. Tip Top - pub with bar fare.
  4. Milestone 229 - the only restaurant along the river (Bicentennial park). very relaxing atmosphere. fountains.
    German Village.
  1. Katzinger's - deli. often offers wine, cheese and beer tasting.
  2. Pistacia Vera - french bakery. very good macarons and other gluten free treats.
  3. Lindey's - upscale.
  4. Barcelona - spanish. tapas
Short North - www.shortnorth.org
Arena District - www.arenadistrict.com
German Village - germanvillage.com

Simple area map