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Award Abstract # 1935081
Latin American School of Algebraic Geometry and Applications (ELGA IV)

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: UNIVERSITY OF MASSACHUSETTS
Initial Amendment Date: October 17, 2019
Latest Amendment Date: February 8, 2021
Award Number: 1935081
Award Instrument: Standard Grant
Program Manager: michelle manes
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: November 1, 2019
End Date: October 31, 2020 (Estimated)
Total Intended Award Amount: $15,000.00
Total Awarded Amount to Date: $15,000.00
Funds Obligated to Date: FY 2020 = $15,000.00
History of Investigator:
  • Evgueni Tevelev (Principal Investigator)
    tevelev@math.umass.edu
Recipient Sponsored Research Office: University of Massachusetts Amherst
101 COMMONWEALTH AVE
AMHERST
MA  US  01003-9252
(413)545-0698
Sponsor Congressional District: 02
Primary Place of Performance: University of Massachusetts Amherst
MA  US  01035-9450
Primary Place of Performance
Congressional District:
02
Unique Entity Identifier (UEI): VGJHK59NMPK9
Parent UEI: VGJHK59NMPK9
NSF Program(s): ALGEBRA,NUMBER THEORY,AND COM
Primary Program Source: 01002021DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7556
Program Element Code(s): 126400
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

This award will provide travel support for graduate students and early career mathematicians from the United States to participate in the graduate school "Latin American School on Algebraic Geometry and its Applications" (ELGA)that will take place in Talca (Chile) from December 2 to 13, 2019. This will be the fourth edition of the ELGA series: the previous events were held in Buenos Aires (Argentina, 2011), Cabo Frio (Brazil, 2015) and Guanajuato (Mexico, 2017). ELGA is a major mathematical event in Latin America and a focal meeting point for the algebraic geometry community. Ph.D. students and postdocs will have an opportunity to take intensive graduate courses from the world leaders in the field, to build an international network to facilitate collaboration and mentorship, and to disseminate their research to Latin American audiences. The website of the conference is http://inst-mat.utalca.cl/~elga/

Over the course of two weeks, courses by Jean-Pierre Demailly (University of Grenoble), Igor Dolgachev (University of Michigan), Angela Ortega (Humboldt University), Vincent Pilloni (Ecole normale superieure de Lyon) and Claire Voisin (Institut de Mathematiques de Jussieu, Paris) will cover a wide range of topics of current research in algebraic geometry, including hyperbolicity properties and entire holomorphic curves in algebraic varieties, automorphisms of varieties, Prym varieties and Prym maps, automorphic forms and, finally, obstructions to rationality and stable rationality of complex projective varieties. Each course will also include two hours of tutoring sessions led by advanced graduate students. Ten additional talks by a combination of senior and junior researchers are intended to give a panoramic view of algebraic geometry and closely related subjects.

This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

PROJECT OUTCOMES REPORT

Disclaimer

This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.

Latin American School on Algebraic Geometry and its Applications (ELGA) is a major mathematical event in Latin America, a focal meeting point for the algebraic geometry community and a great opportunity for graduate students to network and to learn from the world experts in the field. The goal of the project was to provide travel support for graduate students and early career mathematicians from the United States to participate in the 4th ELGA workshop that took place in Talca, Chile from December 2 to 13, 2019. In addition to the National Science Foundation, this research and training school was supported by grants from CIMPA (France), Clay Mathematics Institute (UK), Foundation Composiio Mathematica (Netherlands) and Talca University (Chile).

Over the course of two weeks, the series of lectures by world-leading experts covered a wide range of modern topics in Algebraic Geometry:

  1. Jean-Pierre Demailly (Université Grenoble Alpes, France), Hyperbolicity properties of algebraic varieties
  2. Igor Dolgachev (University of Michigan, USA), Automorphisms of algebraic varieties
  3. Angela Ortega (Humboldt Universität, Germany), Prym varieties and Prym maps
  4. Vincent Pilloni (École normale supérieure de Lyon, France), Algebraic curves and automorphic forms
  5. Claire Voisin (Collège de France, France), Stable birational invariants and the stable Lüroth problem

Each course included two hours of tutoring sessions led by advanced graduate students and postdocs. Additional talks by a combination of senior and junior researchers were intended to give a panoramic view of algebraic geometry while focussing on new directions in research. The two-week format presented many opportunities for research collaboration, development of mentoring networks, dissemination of results and professional development. The conference organizers made a conscious effort to bring in members of underrepresented groups and to attract students from less mathematically developed countries in Latin America. A large number of women speakers and organizers was meant to encourage and welcome female graduate students and junior faculty.

The conference has attracted more than a hundred participants, including 10 junior mathematicians from the United States funded by the NSF grant. This support was an important contribution towards professional development of workforce in mathematical sciences and strengthening of academic ties between the U.S. and Latin American countries.


Last Modified: 03/04/2021
Modified by: Evgueni Tevelev

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