This workshop will be offered virtually. The in-person meeting has been cancelled due to the COVID-19 outbreak. A schedule for virtual talks will be posted soon. Accepted participants will be notified how to access the virtual presentations.
Organizing Committee
Abstract

Galois groups encode the internal structure of field extensions. Less well-known is that (families) of systems of polynomial equations or geometric problems also have Galois groups that encode the internal structure of the equations or geometric problems. During the 2018 Fall program at the ICERM on Nonlinear Algebra, different groups of researchers who were studying or using Galois groups in their work became more aware of their related interests. This common thread connects recent work in enumerative geometry, statistics, computer vision, number theory, and numerical nonlinear algebra. Further connections have subsequently been realized to arithmetic enhancements of intersection theory and to random real algebraic geometry. This workshop will bring representatives of these research groups together to deepen these interactions and chart new research goals.

This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.

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Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, August 31, 2020
TimeEventLocationMaterials
9:50 - 10:00am EDTWelcome - ICERM Director  
10:00 - 10:20am EDTOrganizer Welcome and Overview - Frank Sottile, Texas A&M University  
10:20 - 11:00am EDTIntroductions  
11:00 - 11:35am EDTBraid monodromy of univariate fewnomials - Lionel Lang, Stockholm University 
1:30 - 2:05pm EDTThere are 160,839 + 160,650 3-planes in a 7-dimensional cubic hypersurface - Kirsten Wickelgren, Duke University 
2:30 - 3:05pm EDTGalois groups in 3D Reconstruction - Timothy Duff, Georgia Institute of Technology 
3:30 - 4:00pm EDT"Make your own Coffee" break  
Tuesday, September 1, 2020
TimeEventLocationMaterials
10:00 - 10:35am EDTGalois theory in several variables - a number theory perspective - Andrew Bridy, Yale University 
11:00 - 11:35am EDT38406501359372282063949 and all that- Monodromy of Fano Problems - Sachi Hashimoto, Boston University 
12:00 - 1:30pm EDTFree time/ Unorganized Discussion  
1:30 - 2:05pm EDTGalois groups in Schubert calculus - Frank Sottile, Texas A & M University  
2:30 - 3:05pm EDTPolynomial systems of graphical models - Elizabeth Gross, University of Hawai'i at Manoa 
3:30 - 4:00pm EDT"Make your own Coffee" break  
Wednesday, September 2, 2020
TimeEventLocationMaterials
9:00 - 9:35am EDTHomotopyContinuation.jl - Solving systems of polynomial equations in Julia - Paul Breiding, TU Berlin 
10:00 - 10:35am EDTReal monodromy action - Margaret Regan, Duke University 
11:00 - 11:35am EDTToward rigorous monodromy and 1-parameter enumerative problems - John Voight, Dartmouth College 
12:00 - 1:30pm EDTFree time/ Unorganized Discussion  
1:30 - 2:05pm EDTWronskians and Monodromy in Real Schubert Calculus - Jake Levinson, Simon Fraser University 
2:30 - 3:05pm EDTMonodromy problems in Brill--Noether theory - Isabel Vogt, Stanford University and University of Washington 
3:30 - 4:00pm EDT"Make your own Coffee" break  

Request Reimbursement

Acceptable Costs
  • 1 roundtrip between your home institute and ICERM
  • Flights in economy class to either Providence airport (PVD) or Boston airport (BOS)
  • Ground Transportation to and from airports and ICERM.
Unacceptable Costs
  • Seats in economy plus, business class, or first class
  • Change ticket fees of any kind
  • Multi-use bus passes
  • Meals or incidentals
Advance Approval Required
  • Personal car travel to ICERM from outside New England
  • Multiple-destination plane ticket; does not include layovers to reach ICERM
  • Arriving or departing from ICERM more than a day before or day after the program
  • Multiple trips to ICERM
  • Rental car to/from ICERM
  • Arriving or departing from airport other than PVD/BOS or home institution's local airport
  • 2 one-way plane tickets to create a roundtrip (often purchased from Expedia, Orbitz, etc.)
Reimbursement Request Form

https://icerm.brown.edu/money/

Refer to the back of your ID badge for more information. Checklists are available at the front desk.

Reimbursement Tips
  • Scanned original receipts are required for all expenses
  • Airfare receipt must show full itinerary and payment
  • ICERM does not offer per diem or meal reimbursement
  • Allowable mileage is reimbursed at prevailing IRS Business Rate and trip documented via pdf of Google Maps result
  • Keep all documentation until you receive your reimbursement!
Reimbursement Timing

6 - 8 weeks after all documentation is sent to ICERM. All reimbursement requests are reviewed by numerous central offices at Brown who may request additional documentation.

Reimbursement Deadline

Submissions must be received within 30 days of ICERM departure to avoid applicable taxes. Submissions after thirty days will incur applicable taxes. No submissions are accepted more than six months after the program end.

Lecture Videos

Monodromy problems in Brill--Noether theory

Isabel Vogt
Stanford University
September 2, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Wronskians and Monodromy in Real Schubert Calculus

Jake Levinson
University of Washington
September 2, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Toward rigorous monodromy and 1-parameter enumerative problems

John Voight
Dartmouth College
September 2, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Real monodromy action

Margaret Regan
Duke University
September 2, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Polynomial systems of graphical models

Elizabeth Gross
University of Hawai'i at Manoa
September 1, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Galois theory in several variables - a number theory perspective

Andrew Bridy
Yale University
September 1, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Galois groups in 3D Reconstruction

Timothy Duff
Georgia Institute of Technology
August 31, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

There are 160,839 + 160,650 3-planes in a 7-dimensional cubic hypersurface

Kirsten Wickelgren
Duke University
August 31, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play

Braid monodromy of univariate fewnomials

Lionel Lang
Stockholm University
August 31, 2020
ONLY OFFERED VIRTUALLY: Monodromy and Galois groups in enumerative geometry...
Play