Convexity in Algebraic Geometry: 3–7 October 2016

Organizers

Dave Anderson (Ohio State), Klaus Altmann (FU Berlin), Megumi Harada (McMaster), Allen Knutson (Cornell), and Hannah Markwig (Tübingen).

Invited Speakers

Michel Brion (Institut Fourier),
Tom Coates (Imperial),
Maria Angelica Cueto (Ohio State),
Sandra Di Rocco (KTH),
Daniel Erman (Wisconsin),
June Huh (Princeton),
Nathan Ilten (Simon Fraser),
Eric Katz (Ohio State),
Kiumars Kaveh (Pittsburgh),
Valentina Kiritchenko (HSE),
Alex Küronya (Frankfurt),
Thomas Lam (Michigan),
Martina Lanini (Edinburgh),
Chris Manon (George Mason),
Sam Payne (Yale),
Kristian Ranestad (Olso),
Helge Ruddat (Mainz),
Frank Sottile (Texas A&M),
David Speyer (Michigan),
Jenia Tevelev (UMass Amherst),
Christine Berkesch Zamaere (Minnesota).

Schedule

Monday, 3 October2016
08:30—09:20  Registration
09:20—09:30 Welcome and Introduction
09:30—10:30 Okounkov bodies and tropical geometry
by Eric Katz
10:30—11:00 Break
11:00—12:00 Newton-Okounkov bodies and Khovanskii bases
by Chris Manon
12:00—14:00 Lunch
14:00—15:00 Newton-Okounkov polytopes of Bott-Samelson varieties
by Valentina Kiritchenko
15:00—16:00 Break
16:00—17:00 Syzygies of abelian surfaces and Newton-Okounkov bodies
by Alex Küronya
17:00— Reception
 
Tuesday, 4 October 2016
09:00—10:00 Some new four-dimensional Fano manifolds
by Tom Coates
10:00—10:45 Break
10:45—11:45 K-Stability for Fano varieties with torus action
by Nathan Ilten
11:45—13:30 Lunch
13:30—14:30 Spherical tropicalization
by Jenia Tevelev
14:30—15:00 Break
15:00—16:00 Grobner theory and tropical geometry on spherical varieties
by Kiumars Kaveh
16:00—16:15 Break
16:15—17:15 Rational quartic spectrahedra
by Kristian Ranestad
 
Wednesday, 5 October 2016
09:00—10:00 Convex visualisation of toric vector bundles
by Sandra Di Rocco
10:00—10:30 Break
10:30—11:30 Convexity and categorification in Boij-Soederberg theory
by Daniel Erman
11:30—11:45 Break
11:45—12:45 Free complexes on smooth toric varieties
by Christine Berkesch Zamaere
12:30—14:00 Lunch
14:00— Excursion
 
Thursday, 6 October 2016
09:00—10:00 Canonical forms for polytopes and amplituhedra
by Thomas Lam
10:00—10:45 Break
10:45—11:45 Tropical linear spaces, Grassmannians, and matroids
by David Speyer
11:45—13:30 Lunch
13:30—14:30 Irrational toric varieties
by Frank Sottile
14:30—15:00 Break
15:00—16:00 Scissors rings and geometric invariants
by Sam Payne
16:00—16:15 Break
16:15—17:15 Tropical geometry via logarithmic geometry
by Helge Ruddat
 
Friday, 7 October 2016
09:30—10:30 Degenerate flags and Schubert varieties
by Martina Lanini
10:30—11:00 Break
11:00—12:00 Indecomposable commutative algebraic groups
by Michel Brion
12:00—14:00 Lunch
14:00—15:00 Anticanonical tropical del Pezzo cubic surfaces
by Maria Angelica Cueto
15:00—16:00 Break
16:00—17:00 Enumeration of points, lines, planes, etc.
by June Huh

Registration

Please register on the Fields Institute website by first selecting “Registration Form” and then selecting the “Workshop on Convexity in Algebraic Geometry”. There is a registration fee of $25CAD. The deadline for applications for financial support was Friday, 8 July 2016.