Braids, Resolvent Degree and Hilbert’s 13th Problem - IPAM

Braids, Resolvent Degree and Hilbert’s 13th Problem

February 19 - 21, 2019

Schedule

All times in this Schedule are Pacific Time (PT)

Tuesday, February 19, 2019

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Jesse Wolfson (University of California, Irvine (UCI))
After Abel
10:00-10:15
Break
10:15-11:05
Alexander Merkurjev (University of California, Los Angeles (UCLA))
Essential Dimension I
11:15-11:30
Break
11:30-12:20
Jesse Wolfson (University of California, Irvine (UCI))
Resolvent Degree and Classical Solutions

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Keerthi Madapusi Pera (Boston College)
Introduction to the Siegel modular variety and its ordinary locus
15:00-15:30
Break
15:30-16:20
Askold Khovanskii (University of Toronto)
Topological approach to 13th Hilbert problem
16:30-18:00
Reception (Hosted by IPAM)

Wednesday, February 20, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Alexander Merkurjev (University of California, Los Angeles (UCLA))
Essential Dimension II
10:00-10:15
Break
10:15-11:05
Mark Kisin (Harvard University)
Essential dimension and moduli of abelian varieties
11:15-11:30
Break
11:30-12:20
Hélène Esnault (Freie Universität Berlin)
Arithmetic subspaces of moduli spaces of rank one local systems

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Anatoly Libgober (University of Illinois at Chicago )
Asymptotic of invariants of quasi-projective fundamental groups.
15:00-15:30
Break
15:30-16:30
Lightning Session ()
Weiyan Chen (Minnesota), Ronno Das (UChicago), Rachel Davis (Wisconsin), Federico Scavia (UBC), Abishek Shukla (UBC), Padmavathi Srinivasan (Georgia Tech), Rebecca Winarski (University of Michigan), and Lynnelle Ye (Harvard).
16:30-18:00
Problem session

Thursday, February 21, 2019

Morning Session

08:00-09:00
Check-In/Breakfast (Hosted by IPAM)
09:00-09:50
Jesse Wolfson (University of California, Irvine (UCI))
Resolvent Degree and the Search for Lower Bounds
10:00-10:15
Break
10:15-11:05
Laure Flapan (Northeastern University)
Monodromy of Kodaira fibrations and moduli of abelian varieties
11:15-11:30
Break
11:30-12:20
Alexander Suciu (Northeastern University)
Braids, hyperplane arrangements, and Milnor fibrations

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Alexander Duncan (University of South Carolina)
Finite Groups of Low Essential Dimension
15:00-15:30
Break
15:30-16:20
Daniel Litt (Institute for Advanced Study)
Arithmetic and the representation theory of fundamental groups
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