Newton-Okounkov Bodies & Tropical Geometry

Goethe University Frankfurt am Main

14. - 18. November 2022

Speakers

Lara Bossinger (UNAM Oaxaca)
Ian Cavey (Ohio State University)
Alheydis Geiger (MPI Leipzig)
Milena Hering (University of Edinburgh)
Nathan Ilten (Simon Fraser University)
Hernan Iriarte (University of Texas at Austin)
Kiumars Kaveh (University of Pittsburgh) [virtual]
Peter Littelmann (University of Köln) [virtual]
Hannah Markwig (University of Tübingen)
Mirko Mauri (IST Austria)
Johannes Nicaise (Imperial College/KU Leuven)
Joaquim Roé (Universitat Autonòma de Barcelona)
Raman Sanyal (Goethe University Frankfurt)
Rob Silversmith (University of Warwick)
Stefano Urbinati (University of Udine)
Claudia Yun (Max-Planck-Institute Leipzig)

Zoom

We are planning to stream all talks via zoom and a few talks will only take place virtually. Please register to receive the zoom link.

Registration

Please register here, even if you are only intending to participate online.

Schedule

Monday, 14. November

14:00 - 15:00: Stefano Urbinati: Mori Dream Pairs and C^*-actions
15:00 - 15:30: Break
15:30 - 16:30: Nathan Ilten: Khovanskii-finiteness for rational curves of genus two and low degree hypersurfaces
16:30 - 17:00: Break
17:00 - 18:00: Ian Cavey: Hilbert schemes and Newton-Okounkov bodies

Tuesday, 15. November

9:30 - 10:30: Johannes Nicaise: Tropical degenerations and irrationality of hypersurfaces in products of projective spaces
10:30 - 11:00: Break
11:00 - 12:00: Mirko Mauri: Index of log Calabi-Yau pairs with maximal intersections
12:00 - 14:00: Lunch break
14:00 - 15:00: Milena Hering: Equations of toric vector bundles
15:00 - 15:30: Break
15:30 - 16:20: Lightning Talks I: Thibaut Poiret, Sam Johnston, Leonid Monin, Tom Sutherland, Girtrude Hamm, Johannes Horn, Debam Biswas
16:20 - 16:50: Break
16:50 - 18:00: Lightning Talks II: Karin Schaller, Carlos Jesús Moreno Ávila, Adam Afandi, George Balla, Stefano Mereta, Simen Moe, Lucie Devey, Paul Helminck, Courtney George
18:00 - ?: Pizza and Beer.

Wednesday, 16. November

9:30 - 10:30: Rob Silversmith: Cross-ratios and perfect matchings
10:30 - 11:00: Break
11:00 - 12:00: Joaquim Roé: Irrational nef rays at the boundary of the Mori cone for very general blowups of the plane.
12:00 - 14:00: Lunch break
14:00 - 15:00: Peter Littelmann (virtual): On Seshadri stratifications, its Newton–Okounkov complexes and semi-toric degenerations.
15:00 - 15:30: Break
15:30 - 16:30: Kiumars Kaveh (virtual): Degenerations of polarized projective varieties to complexity-one varieties.

Thursday, 17. November

9:30 - 10:30: Hannah Markwig: A new perspective on tropical covers
10:30 - 11:00: Break
11:00 - 12:00: Alheydis Geiger: Self-dual matroids from canonical curves
12:00 - 14:00: Lunch break
14:00 - 15:00: Claudia Yun: Discrete Morse Theory for Symmetric Delta-complexes
15:00 - 15:30: Break
15:30 - 16:30: Hernan Iriarte: Geometry with higher rank valuations

Friday, 18. November

9:30 - 10:30: Lara Bossinger: Towards a fundamental theorem for totally positive tropical geometry
10:30 - 11:00: Break
11:00 - 12:00: Raman Sanyal: Flag polymatroids

Funding

There is some funding for participants. Those receiving funding have already been contacted.

Practical Aspects - Time and Location

The Workshop will begin on Nov. 14 at 2 pm and end on Nov. 18 at noon. All talks will take at the Institute of Mathematics in Robert-Mayer-Str. 10, Room 711.

How to get here?

Frankfurt is located very much in the center of Europe and there are trains from many European cities that get you to its main station (Frankfurt (Main) Hbf). You can also take a flight to Frankfurt Airport.

From Frankfurt Airport you can take S-Bahn line 8 (or 9) to get to get to Frankfurt (Main) Hbf. From Frankfurt's main train station you can take U-Bahn line 4 to its final stop, Bockenheimer Warte, which is where our campus is located.

Please note that the airport Frankfurt-Hahn is much further from Frankfurt and, due to a lack of convenient public transport options, we do not recommend that you use this airport to get to Frankfurt.

Organizers

Barbara Bolognese, Alex Küronya, Martin Ulirsch

Please feel free to contact us in case of questions.

Acknowledgements

This conference has received funding from the CRC 326 Geometry and Arithmetic of Uniformized Structures (GAUS) and the LOEWE-Schwerpunkt Uniformisierte Strukturen in Arithmetik and Geometrie.

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