VIASM-ICTP Summer School on Differential Geometry | (smr 3862) (14-25 August 2023)

Administration

Description

This school is organised in partnership with the Clay Mathematics Institute and is also supported by a grant from the IMU-CDC Conference Support Program, which is partially supported by the Abel Board.

The school gives an ideal platform for advanced undergraduates, graduate students, and early-career mathematicians to learn the basics of differential geometry in close connection with recent breakthrough developments. Concrete topics include Kähler geometry, Ricci curvature, geometric convergence, and minimal surfaces.

Differential geometry is among the most active fields in mathematics with fundamental connections to physics and other sciences. Indeed, J. Douglas was awarded the first Fields Medal for his remarkable contribution to the study of minimal surfaces in Euclidean space. Today the field is as exciting and vibrant as ever. For example, the resolutions of Willmore’s and Lawson's conjectures bring new insights and revitalize old techniques. This summer school would allow experts in the field to gather, share ideas, and pass on their knowledge to the next generations.

Clay lecturer:

A. NEVES, University of Chicago, USA

Clay Early Career Researcher:

T. BUTTSWORTH, University of Queensland, Australia

Principal Lecturers:

B. ALLEN, CUNY Lehman College, USA

C. AREZZO, ICTP, Italy

A. NEVES, University of Chicago, USA

A. PULEMOTOV, University of Queensland, Australia

G. WEI, The University of California, Santa Barbara (UCSB), USA

Brainstorm Session:

T. BUTTSWORTH, University of Queensland, Australia

N.T. DUNG, Vietnam National University, Hanoi

N.M. HOANG, Vietnam National University, Hanoi

T.T. HUNG, Texas Tech University, USA

For more information please see VIASM school web page.

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

Course outline Final list of Participants Poster Programme Short CV Speakers VIASM

VIASM-ICTP Summer School on Differential Geometry | (smr 3862)

Go to day

Monday, 14 August 2023
- 09:00 - 14:00 Participants arriving
- 14:00 - 15:15
  - 14:00 Opening 15'
  - 14:15 Convergence of Riemannian Manifolds and Scalar Curvature 1h0'

Tuesday, 15 August 2023

09:00 - 16:30

09:00 Integral Current Spaces and Intrinsic Flat Convergence 1h0'

Online

Speaker:	Christina SORMANI (CUNY Lehman College and CUNY Graduate Center, USA)
Material:	Slides

10:00 Break 15'
10:15 Convergence of Riemannian Manifolds and Scalar Curvature 1h0'

Speaker: Brian ALLEN (CUNY Lehman College, USA)
11:15 Break 15'
11:30 Open discussion 1h0'
12:30 Lunch 1h30'
14:00 Convergence of Riemannian Manifolds and Scalar Curvature 1h0'

Speaker: Brian ALLEN (CUNY Lehman College, USA)
15:00 Break 30'
15:30 Section A 1h0'

Wednesday, 16 August 2023
- 09:00 - 16:30
  - 09:00 Convergence of Riemannian Manifolds and Scalar Curvature 1h0'
    
    Speaker: Brian ALLEN (CUNY Lehman College, USA)
  - 10:00 Break 15'
  - 10:15 Minimal surfaces and Zoll metrics 1h0'
    
    Speaker: Andre NEVES (University of Chicago, USA)
  - 11:15 Break 15'
  - 11:30 Section A 1h0'
  - 12:30 Lunch 1h30'
  - 14:00 Convergence of Riemannian Manifolds and Scalar Curvature 1h0'
    
    Speaker: Brian ALLEN (CUNY Lehman College, USA)
  - 15:00 Break 30'
  - 15:30 Minimal surfaces and Zoll metrics 1h0'
    
    Speaker: Andre NEVES (University of Chicago, USA)

Thursday, 17 August 2023

09:00 - 16:30

09:00 Minimal surfaces and Zoll metrics 1h0'

Speaker: Andre NEVES (University of Chicago, USA)
10:00 Break 15'
10:15 The geometry of constant scalar curvature Kahler manifolds 1h0'

Speaker: Claudio AREZZO (ICTP, Italy)
11:15 Break 15'
11:30 Section B 1h0'
12:30 Lunch 1h30'
14:00 Minimal surfaces and Zoll metrics 1h0'

Speaker: Andre NEVES (University of Chicago, USA)
15:00 Break 30'

15:30 CLAY Lecture 1h0'

Please see CLAY Lecture details here

Speaker:	Andre NEVES (University of Chicago, USA)
Material:	Poster CLAY

Friday, 18 August 2023
- 09:00 - 14:00
  - 09:00 Minimal surfaces and Zoll metrics 1h0'
    
    Speaker: Andre NEVES (University of Chicago, USA)
  - 10:00 Break 15'
  - 10:15 The geometry of constant scalar curvature Kahler manifolds 1h0'
    
    Speaker: Claudio AREZZO (ICTP, Italy)
  - 11:15 Break 15'
  - 11:30 Section B 1h0'
  - 12:30 Lunch 1h30'
- 14:00 - 17:00 Departure to Tuan Chau
Saturday, 19 August 2023
- 09:00 - 17:00 Workshop at Tuan Chau, Ha Long
  
  Material: Short CV Speakers
  - 09:00 to be announced 1h0'
    
    Speaker: Jean-Pierre BOURGUIGNON (ERC, Belgium)
  - 10:00 Break 15'
  - 10:15 to be announced 1h0'
    
    Speaker: Shin-Ichi OHTA (Osaka University, Japan)
  - 11:15 Break 15'
  - 11:30 to be announced 1h0'
    
    Speaker: Gunhee CHO (University of California, Santa Barbara, USA)
  - 12:30 Lunch 1h30'
  - 14:00 to be announced 1h0'
    
    Speaker: Richard SHOEN (American Mathematical Society, USA)
  - 15:00 Break 15'
  - 15:15 to be announced 1h0'
    
    Speaker: Timothy BUTTSWORTH (University of Queensland, Australia)
  - 16:15 Break 15'
  - 16:30 to be announced 30'
    
    Speaker: Nguyen Minh HOANG (Vietnam National University, Hanoi)
Sunday, 20 August 2023
- 09:00 - 17:00 Back to Hanoi
Monday, 21 August 2023
- 09:00 - 16:30
  - 09:00 The geometry of constant scalar curvature Kahler manifolds 1h0'
    
    Speaker: Claudio AREZZO (ICTP, Italy)
  - 10:00 Break 15'
  - 10:15 The prescribed Ricci curvature problem 1h0'
    
    Speaker: Artem PULEMETOV (University of Queensland, Australia)
  - 11:15 Break 15'
  - 11:30 Section C 1h0'
  - 12:30 Lunch 1h30'
  - 14:00 The geometry of constant scalar curvature Kahler manifolds 1h0'
    
    Speaker: Claudio AREZZO (ICTP, Italy)
  - 15:00 Break 30'
  - 15:30 Some recent results for spaces with Ricci curvature lower bounds 1h0'
    
    Speaker: Goufang WEI (The University of California, Santa Barbara (UCSB), USA)
Tuesday, 22 August 2023
- 09:00 - 16:30
  - 09:00 Some recent results for spaces with Ricci curvature lower bounds 1h0'
    
    Speaker: Goufang WEI (The University of California, Santa Barbara (UCSB), USA)
  - 10:00 Break 15'
  - 10:15 The prescribed Ricci curvature problem 1h0'
    
    Speaker: Artem PULEMETOV (University of Queensland, Australia)
  - 11:15 Break 15'
  - 11:30 Section C 1h0'
  - 12:30 Lunch 1h30'
  - 14:00 The geometry of constant scalar curvature Kahler manifolds 1h0'
    
    Speaker: Claudio AREZZO (ICTP, Italy)
  - 15:00 Break 30'
  - 15:30 Section D 1h0'
Wednesday, 23 August 2023
- 09:00 - 17:00 Field trip
Thursday, 24 August 2023
- 09:00 - 16:30
  - 09:00 The prescribed Ricci curvature problem 1h0'
    
    Speaker: Artem PULEMETOV (University of Queensland, Australia)
  - 10:00 Break 15'
  - 10:15 Some recent results for spaces with Ricci curvature lower bounds 1h0'
    
    Speaker: Goufang WEI (The University of California, Santa Barbara (UCSB), USA)
  - 11:15 Break 15'
  - 11:30 Section D 1h0'
  - 12:30 Lunch 1h30'
  - 14:00 The prescribed Ricci curvature problem 1h0'
    
    Speaker: Artem PULEMETOV (University of Queensland, Australia)
  - 15:00 Break 30'
  - 15:30 Some recent results for spaces with Ricci curvature lower bounds 1h0'
    
    Speaker: Goufang WEI (The University of California, Santa Barbara (UCSB), USA)
Friday, 25 August 2023
- 09:00 - 16:30
  - 09:00 The prescribed Ricci curvature problem 1h0'
    
    Speaker: Artem PULEMETOV (University of Queensland, Australia)
  - 10:00 Break 15'
  - 10:15 Section D 1h0'
  - 11:15 Break 15'
  - 11:30 Open discussion 1h0'
  - 12:30 Lunch 1h30'
  - 14:00 Some recent results for spaces with Ricci curvature lower bounds 1h0'
    
    Speaker: Goufang WEI (The University of California, Santa Barbara (UCSB), USA)
  - 15:00 Break 30'
  - 15:30 Closing 1h0'