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Category: List of Bases 2012 2012 ICTP Activities in Trieste ICTP Activities in Trieste
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lecture

Start Time:

18 June 2012 at 09:00

Ends On:

29 June 2012

Location:

Trieste - Italy

Venue:

AGH (Kastler Lecture Hall)

Organizer(s):

H. Cohen, G. Tornaria, W. Stein, F. Rodriguez Villegas; Local Organiser: R. Ramakrishnan

Description:

TOPIC
The aim of the School and Workshop is to introduce the problems and methods of computational algebra and number theory. Recently, enormous progress has been made in this area, both as a consequence of the increased computing capabilities and the development of powerful algorithms and their associated mathematics. The workshop will focus on the interplay between high level theoretical mathematics and the challenges and successes of its computational counterpart.

During the second week of this activity, an AIM workshop, co-sponsored by the NSF and ICTP, will be held from June 25 - 29, 2012. This workshop entitled Hypergeometric Motives will be an intense and focused research activity centered around the L-functions that arise from hypergeometric data. The goal is to deepen the theoretical and computational understanding of these L-functions. More information can be found at:

http://www.aimath.org/ARCC/workshops/hypermotives.html

At the end of the first week, the organizers will invite some of the school participants to join the more focused AIM workshop. The school will continue into the second week, which may be more in the style of a conference.

PARTICIPATION
Scientists from all countries that are members of the United Nations, UNESCO or IAEA may attend the Workshop. As the activity will be conducted in English, participants should have an adequate working knowledge of this language. There is no registration fee. Travel and subsistence expenses of participants should be borne by their home institutions. Limited funds are available for some participants who are nationals of, and working in, a developing country, to be selected by the Organizers. However, every effort should be made by candidates to secure at least partial support for their travel expenses.

Deadline for applications
28 February 2012


Material:

no notes available

18 June 2012
08:30
09:30
Registration
01h00'
All Directors, Speakers and Participants are required to complete the online registration formalities.
09:30
10:45
Algebra, differential equations
01h15'
Frits Beukers
University of Utrecht, Netherlands
10:45
11:15
Coffee Break
30'
11:15
12:30
L-functions
01h15'
Tim Dokchitser
University of Bristol, UK
12:30
13:30
Lunch
01h00'
13:30
14:45
Computational number theory
01h15'
John Cremona
University of Warwick, Coventry, UK
14:45
15:15
Coffee Break
30'
15:15
16:30
Computational number theory
01h15'
Henri Cohen
Universite Bordeaux 1, Talence, France
17:00
18:30
Problem Session
01h30'
19 June 2012
09:00
10:15
Algebra, differential equations
01h15'
Alicia Dickenstein
Universidad de Buenos Aires, Argentina
10:15
10:45
Coffee Break
30'
10:45
12:00
L-functions
01h15'
David Farmer
American Institute of Mathematics, USA
12:00
13:30
Lunch
01h30'
13:30
14:45
Computational number theory
01h15'
John Cremona
University of Warwick, Coventry, UK
14:45
15:15
Coffee Break
30'
15:15
16:30
Computational number theory
01h15'
Henri Cohen
Universite Bordeaux 1, Talence, France
17:00
18:30
Problem Session
01h30'
19:00
21:00
Welcome Reception
02h00'
20 June 2012
09:00
10:15
Algebra, differential equations
01h15'
Frits Beukers
University of Utrecht, Netherlands
10:15
10:45
Coffee Break
30'
10:45
12:00
L-functions
01h15'
Tim Dokchitser
University of Bristol, UK
12:00
13:30
Lunch
01h30'
13:30
14:45
Computational number theory
01h15'
John Cremona
University of Warwick, Coventry, UK
14:45
15:15
Coffee Break
30'
15:15
16:30
Computational number theory
01h15'
Henri Cohen
Universite Bordeaux 1, Talence, France
17:00
18:30
Problem Session
01h30'
21 June 2012
09:00
10:15
Algebra, differential equations
01h15'
Alicia Dickenstein
Universidad de Buenos Aires, Argentina
10:15
10:45
Coffee Break
30'
10:45
12:00
L-functions
01h15'
David Farmer
American Institute of Mathematics, USA
12:00
13:30
Lunch
01h30'
13:30
14:45
Computational number theory
01h15'
John Cremona
University of Warwick, Coventry, UK
14:45
15:15
Coffee Break
30'
15:15
16:30
Computational number theory
01h15'
Henri Cohen
Universite Bordeaux 1, Talence, France
16:30
18:00
Problem Session
01h30'
22 June 2012
09:00
10:15
Algebra, differential equations
01h15'
Frits Beukers
University of Utrecht, Netherlands
10:15
10:45
Coffee Break
30'
10:45
12:00
L-functions
01h15'
Tim Dokchitser
University of Bristol, UK
12:00
13:30
Lunch
01h30'
13:30
14:45
Algebra, differential equations
01h15'
Alicia Dickenstein
Universidad de Buenos Aires, Argentina
14:45
15:15
Coffee Break
30'
15:15
16:30
Automorphic forms
01h15'
Dipendra Prasad
Tata Institute of Fundamental Research, India
17:00
19:00
Participants' expositions
02h00'
25 June 2012
09:00
10:00
AIM Conference on Hypergeometric motives - Part I
01h00'
Fernando Rodriguez Villegas
University of Texas at Austin, USA
10:15
10:45
Coffee Break
30'
11:00
12:00
AIM Conference on Hypergeometric motives - Part II
01h00'
Henri Cohen
Université Bordeaux 1, France
12:00
13:30
Lunch
01h30'
13:30
14:45
Some classical calculations with 2_F-1's
01h15'
Kamal Khuri-Makdisi
American University of Beirut, Lebanon
14:45
15:15
Coffee Break
30'
09:00
10:00
AIM Conference on hypergeometric motives - Remarks on automorphic L-functions
01h00'
Dipendra Prasad
Tata Institute of Fundamental Research, India
10:15
10:45
Coffee Break
30'
11:00
12:00
AIM Conference on hypergeometric motives - Frobenius elements in Galois groups
01h00'
Tim Dokchitser
University of Bristol, UK
12:00
13:30
Lunch
01h30'
13:30
14:45
Escher tilings and fundamental domains for number fields
01h15'
Eduardo Friedman
Universidad de Chile
14:45
15:15
Coffee Break
30'
16:00
18:00
Problem Session
02h00'
27 June 2012
09:00
10:00
AIM Conference on hypergeometric motives: de Rham cohomology and p-adic cohomology
01h00'
Kiran Kedlaya
MIT, USA
10:15
10:45
Coffee Break
30'
11:00
12:00
AIM Conference on hypergeometric motives: hypergeometric motives and their reduction modulo $\ell$
01h00'
David Roberts
University of Minnesota Morris, USA
12:00
13:30
Lunch
01h30'
13:30
14:45
Congruence properties of eigenvalues
01h15'
Ariel Pacetti
Universidad de Buenos Aires, Argentina
14:45
15:15
Coffee Break
30'
09:00
10:00
AIM Conference on hypergeometric motives: Extended progress report
01h00'
David Farmer
American Institute of Mathematics
10:15
10:45
Coffee Break
30'
11:00
12:00
AIM Conference on hypergeometric motives: Participants' progress reports
01h00'
12:00
13:30
Lunch
01h30'
13:30
14:45
The inverse Galois problem
01h15'
David Roberts
University of Minnesota Morris, USA
14:45
15:15
Coffee Break
30'
16:00
18:00
Problem Session
02h00'
18:00
19:00
Get-Together Drink 6.00pm
01h00'
29 June 2012
09:00
10:00
AIM Conference on hypergeometric motives: Extended progress report
01h00'
Mark Watkins
University of Sydney, Australia
10:15
11:00
Coffee Break
45'
11:00
12:00
AIM Conference on hypergeometric motives: Participants' progress reports
01h00'
12:00
13:30
Lunch
01h30'
13:30
14:45
Computational and theoretical aspects of modular forms
01h15'
Fredrik Stroemberg
Technische Universitaet Darmstadt, Germany
14:45
15:15
Coffee Break
30'
16:00
18:00
Problem Session
02h00'
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