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Description

An ICTP Meeting

This School is aimed at training students, young researchers and interested faculty members on topics on the interface of number theory and physics.

Topics
  • Black holes and Calabi-Yau Modularity
  • Mathematical structures of Feynman integrals
  • Siegel modular forms and L functions
  • Motives
  • Congruences and cohomology
  • Arithmetic field theory

School Lecturers
P. CANDELAS Oxford University, UK
X. DE LA OSSA Oxford University, UK
M. KIM, ICMS Edinburgh, Scotland
D. ROBERTS, University of Minnesota, Morris, USA
G. TORNARíA, University of the Republic, Uruguay
P. VANHOVE, IPhT, Saclay, France
M. VLASENKO, IMPAN Warsaw, Poland


The related Workshop on Number Theory and Physics (smr 4023) will take place the week after, from 24 to 28 June 2024. Applications to the Workshop need to be made separately here: https://indico.ictp.it/event/10637/

Participants selected for both will receive a joint invitation letter.

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Material

School on Number Theory and Physics | (smr 3947)
Go to day
  • Monday, 17 June 2024
    • 08:30 - 08:50
      • 08:30 Registration formalities 20' ( Adriatico Guest House ( Lower Level 1 ) ) 
        REGISTRATION: Upon arrival, Visitors not staying in the ICTP Guest Houses, are kindly requested to complete registration formalities at the Adriatico Guesthouse - Registration Desk (Lower level) from 08:30 to 8:50.
    • 08:50 - 17:15
      • 08:50 Welcome Remarks 10'
        Speaker: Fernando VILLEGAS (ICTP, Italy), Abhiram MAMANDUR KIDAMBI (MPI-MIS Leipzig, Germany)
        Material: Video
      • 09:00 Siegel modular forms and their L-functions - I 1h15'
        Speaker: Gonzalo TORNARÍA (Universidad de la República, Uruguay)
        Material: Video
      • 10:15 Coffee Break 30'
      • 10:45 Black Holes and the Arithmetic of the associated Calabi-Yau Manifolds - I 1h15'
        Speaker: Philip CANDELAS (University of Oxford, UK)
        Material: Video
      • 12:00 Lunch Break 2h0'
      • 14:00 Congruences and Cohomology - I 1h15'
        Speaker: Masha VLASENKO (Institute of Mathematics of the Polish Academy of Sciences, Poland)
        Material: Video
      • 15:15 Coffee Break 45'
      • 16:00 Arithmetic Field Theory - I 1h15'
        Speaker: Minhyong KIM (University of Edinburgh, UK)
        Material: Video
    • 20:00 - 22:00
      • 20:00 Parallel Discussion/HW 2h0'
  • Tuesday, 18 June 2024
    • 09:00 - 17:15
      • 09:00 Siegel modular forms and their L-functions - II 1h15'
        Speaker: Gonzalo TORNARÍA (Universidad de la República, Uruguay)
        Material: Video
      • 10:15 Group Photo 5'
      • 10:20 Coffee Break 25'
      • 10:45 Arithmetic Field Theory - II 1h15'
        Speaker: Minhyong KIM (University of Edinburgh, UK)
        Material: Video
      • 12:00 Lunch Break 2h0'
      • 14:00 Congruences and Cohomology - II 1h15'
        Speaker: Masha VLASENKO (Institute of Mathematics of the Polish Academy of Sciences, Poland)
        Material: Video
      • 15:15 Coffee Break 45'
      • 16:00 Black Holes and the Arithmetic of the associated Calabi-Yau Manifolds - II 1h15'
        Speaker: Philip CANDELAS (University of Oxford, UK)
        Material: Video
    • 20:00 - 22:00
      • 20:00 Parallel Discussion/HW 2h0'
  • Wednesday, 19 June 2024
    • 09:00 - 17:15
      • 09:00 Siegel modular forms and their L-functions - III 1h15'
        Speaker: Gonzalo TORNARÍA (Universidad de la República, Uruguay)
        Material: Video
      • 10:15 Coffee Break 30'
      • 10:45 Motives - I 1h15'
        Speaker: David ROBERTS (University of Minnesota Morris, USA)
        Material: Video
      • 12:00 Lunch Break 2h0'
      • 14:00 Congruences and Cohomology - III 1h15'
        Speaker: Masha VLASENKO (Institute of Mathematics of the Polish Academy of Sciences, Poland)
        Material: Video
      • 15:15 Coffee Break 45'
      • 16:00 Mathematical structures of Feynman Integrals - I 1h15'
        Speaker: Pierre VANHOVE (IPHT Saclay, France)
        Material: Video
    • 18:30 - 22:30
      • 18:30 School Dinner 4h0'
  • Thursday, 20 June 2024
    • 09:00 - 17:15
      • 09:00 Motives - II 1h15'
        Speaker: David ROBERTS (University of Minnesota Morris, USA)
        Material: Video
      • 10:15 Coffee Break 30'
      • 10:45 Arithmetic Field Theory - III 1h15'
        Speaker: Minhyong KIM (University of Edinburgh, UK)
        Material: Video
      • 12:00 Lunch Break 2h0'
      • 14:00 Black Holes and the Arithmetic of the associated Calabi-Yau Manifolds - III 1h15'
        Speaker: Philip CANDELAS (University of Oxford, UK)
        Material: Video
      • 15:15 Coffee Break 45'
      • 16:00 Mathematical structures of Feynman Integrals - II 1h15'
        Speaker: Pierre VANHOVE (IPHT Saclay, France)
        Material: Video
    • 20:00 - 22:00
      • 20:00 Parallel Discussion/HW 2h0'
  • Friday, 21 June 2024
    • 09:00 - 16:00
      • 09:00 Motives - III 1h15'
        Speaker: David ROBERTS (University of Minnesota Morris, USA)
        Material: Video
      • 10:15 Coffee Break 30'
      • 10:45 Mathematical structures of Feynman Integrals - III 1h15'
        Speaker: Pierre VANHOVE (IPHT Saclay, France)
        Material: Video
      • 12:00 Lunch Break 2h0'
      • 14:00 Black Holes and the Arithmetic of the associated Calabi-Yau Manifolds - IV 1h15'
        Speaker: Philip CANDELAS (University of Oxford, UK)
        Material: Video
      • 15:15 Coffee Break 45'
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