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14th polymake conference and developer meeting
February 3rd, 2023
Corona policy
We will update this section when we get closer to the workshop and have more reliable information on the covid situation.
Please wear a FFP2 mask whenever possible.
polymake conference
On Friday there will be an invited talk and several tutorials, demos and helpdesk sessions for polymake users.
Participants are encouraged to use a laptop with an installed version of polymake in the tutorials. If you have any polymake problem you want to get help during the workshop please describe your problem during the sign up process.
Registration
Please fill out the registration form!
Schedule
| Friday | |||
|---|---|---|---|
| 09:00-09:30 | Registration (MA 313) | ||
| 09:30-10:30 | Talk: Khovanskii bases and Toric degenerations of Cox rings (MA 313) | ||
| Marta Panizzut | |||
| 10:30-11:00 | Break and Helpdesk (MA 313) | ||
| 11:00-12:00 | Tut: Polymake Basics (MA 313) | Tools (MA 621) | |
| Mara Belotti | Benjamin Lorenz, Lars Kastner | ||
| 12:00-14:00 | Lunch and Coffee | ||
| 14:00-15:00 | Tut: Oscar.jl (MA 313) | Markov bases in polymake (MA 621) | |
| Claudia Yun | Antony Della Vecchia | ||
| 15:00-15:30 | Break and Helpdesk (MA 313) | ||
| 15:30-16:30 | Use cases: Phylogenetics in polymake (MA 313) | ||
| Andrei Comăneci | |||
| 16:30-18:00 | Helpdesk (MA 621) | ||
| ~19:00 | Dinner (self paid, at Café Hardenberg) | ||
Abstracts
Khovanskii bases and Toric degenerations of Cox rings
We study combinatorial properties of toric degenerations of Cox rings of blow-ups of 3-dimensional projective space at points in general positions. We focus in particular on Ehrarht-type formulas for the multigraded Hilbert functions of these spaces. From our computations, it follows that the presentation ideal of the Cox ring of the blow up of the projective space at seven points is quadratically generated, as conjectured by Lesieutre and Park. The talk is based on recent work with Mara Belotti and will focus on computational aspects of the project.
polymake Basics
General introduction to polymake, perl, and the datatypes.
Oscar.jl
Overview of OSCAR's polyhedral functionality together with an introduction to the development workflow.
Phylogenetics in polymake
We present a new functionality in polymake which exploits tropical geometry to analyze phylogenetic data.
Hotel recommendations in proximity of the Institute of Mathematics:
- B&B Hotel Berlin-Tiergarten, Englische Str. 1-4, Tel: +49 (0)30 33 00 66-0, Mail: berlin-tiergarten@hotelbb.com
- Novum Hotel Gates, Knesebeckstraße 8-9, Buchung über die Hamburger Reservierungszentrale nicht empfehlenswert!
- Hotel Indigo Berlin - Ku’damm, Hardenbergstrasse 15, Tel: +49 (0)30 860 90 90, Mail: info.indigoberlin@ihg.com
- Hotel Motel One Berlin-Ku’Damm, Kannstraße 10, Tel: +49 (0)30 315 17 36-0, Mail: berlin-kudamm@motel-one.com
- Novotel Berlin am Tiergarten, Strasse des 17 Juni 106-108, Tel: +49 (0)30 60 03 50, Mail: h3649@accor.com
developer meeting
The developer meeting takes place on February 2nd and 4th. If you want to participate in the developer meeting as well, please let us know by email. Developers can find more information here
local organizers
Please contact us with any questions about the workshop. To email us, please use LASTNAME@math.tu-berlin.de.