Local and Nonlocal Geometry of PDEs and Integrability

Short link to this page: https://gdeq.org/Trieste18

Conference dedicated to the 70th birthday of Joseph Krasil'shchik

8-12 October 2018, SISSA, Trieste, Italy

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The conference Local and Nonlocal Geometry of PDEs and Integrability will focus on the geometry and algebra of differential equations, differential geometry, integrable systems, mathematical physics, and all that. This is a conference in honor of Joseph Krasil'shchik's birthday and his many contributions to all these fields.

Scientific Committee

Dmitri Alekseevsky, Ugo Bruzzo, Boris Dubrovin, Davide Guzzetti, Alexei Kushner, Valentin Lychagin, and Vladimir Rubtsov

Organizers

Ugo Bruzzo, Davide Guzzetti, Vladimir Rubtsov, Alexander Verbovetsky, and Raffaele Vitolo

For any questions, please email the organizers at trieste18@gdeq.org.

Poster

Conference poster in pdf

Program

Table

A projector and a blackboard are available in the lecture room.

Participants

All abstracts in one pdf file (preliminary version; one abstract still missing)

• Sergey Agafonov (São José do Rio Preto)
  • Hexagonal geodesic 3-webs, abstract
• Atlas Akhmetzyanov (Moscow)
• Dmitri Alekseevsky (Moscow)
  • Shortest and straightest geodesics of an invariant sub-Riemanniasn metric on a flag manifold, abstract
• Lukas Barth (Heidelberg)
• Pavel Bibikov (Moscow)
  • Differential invariants and representations of semisimple algebraic groups, abstract
• Ugo Bruzzo (Trieste)
  • Cohomology of Lie algebroids on schemes and applications, abstract
• Matteo Casati (Canterbury)
  • A Darboux-Getzler theorem for scalar difference Hamiltonian operators, abstract
• Vladimir Chetverikov (Moscow)
  • Invertible linear ordinary differential operators and their generalizations, abstract
• Boris Dubrovin (Trieste)
• Maciej Dunajski (Cambridge), Oct. 8^evening-11^{late afternoon}
  • Solitons on Wormholes, abstract
• Giuseppe Gaeta (Milan)^{to be confirmed} (possibly from Oct. 10^evening or 11^morning)
• Matteo Gorgone (Messina)
  • Approximate Conditional Symmetries of PDEs, abstract
• Maxim Grigoriev (Moscow)
  • Gauge PDE and AKSZ sigma models
• Davide Guzzetti (Trieste)
• Gerard Helminck (Amsterdam)
  • A construction of solutions of the strict n-component KP-hierarchy, abstract
• Aleksei Ivanov (Moscow)
  • Complex invariant Einstein metrics on flag manifolds with $T$-root system $BC_{2}$, abstract
• Paul Kersten (Losser), till Oct. 10
• Igor Khavkine (Prague)
  • Compatibility complexes for the Killing equation, abstract
• Nina Khor'kova (Moscow)
  • Integrability and infinite hierarchies of symmetries or conservation laws, abstract
• Hovhannes Khudaverdian (Manchester)
  • Homotopy Poisson brackets and thick morphisms, abstract
• Yvette Kosmann-Schwarzbach (Paris)
  • Brackets and torsions, abstract
• Joseph Krasil'shchik (Moscow)
• Boris Kruglikov (Tromsø), Oct. 9-13
  • Integrability via Geometry, abstract
• Jacob Kryczka (Angers)
• Alexei Kushner (Moscow)
  • Anizotropic multi-phase filtration: geometrical approach, abstract
• Giovanni Landi (Trieste)
• Valentin Lychagin (Tromsø)
  • On classification of the second order differential operators and differential equations, abstract
• Giovanni Manno (Turin), till Oct. 11^{early morning}
  • Projective symmetries and superintegrable metrics, abstract
• Andrei Marshakov (Moscow), Oct. 9-14
  • $q$-difference Painleve equations: symmetries and solutions, abstract
• Luigi Martina (Lecce), from Oct. 10^{late morning}
  • Symmetries of asymptotically flat spaces and gravitational memory effect, abstract
• Michal Marvan (Opava)
  • On symmetries of the Gibbons-Tsarev equation, abstract
• Andrey Mironov (Novosibirsk)
  • Integrable magnetic geodesic flows on 2-torus, abstract
• Folkert Müller-Hoissen (Göttingen)
  • Tropical limit of soliton solutions, Yang-Baxter maps and beyond, abstract
• Francesco Oliveri (Messina)
  • Lie remarkable systems of PDEs characterized by affine and projective transformations, abstract
• Stanislav Opanasenko (St.John's)
  • Generalized symmetries and conservation laws of (1+1)-dimensional Klein-Gordon equation, abstract
• Maxim Pavlov (Moscow)
  • Integrability of the Gibbons-Tsarev system, abstract
• Michael Roop (Moscow)
  • Thermodynamics of submerged jets: exact solutions of the Navier-Stokes equations, abstract
• Vladimir Rubtsov (Angers)
• Alexey Samokhin (Moscow)
  • Nonlinear waves in layered media: solutions of the KdV-Burgers equation, abstract
• Taras Skrypnyk (Milan), 9 Oct. only
  • Reduction in soliton hierarchies and special points of classical $r$-matrices, abstract
• Jan Slovák (Brno)
  • Traces of Tractor Calculus in Sub-Riemannian Geometry, abstract
• Giorgio Tondo (Trieste)
  • Beyond recursion operators: Haantjes algebras, abstract
• Jakub Vašíček (Opava)
  • Symmetries and conservation laws for a generalization of Kawahara equation, abstract
• Alexander Verbovetsky (Moscow)
  • Nonlocal Jacobi identity: a geometric approach, abstract
• Raffaele Vitolo (Lecce)
  • Projective-geometric aspects of WDVV equations, abstract
• Petr Vojčák (Opava)
  • Coverings and nonlocal symmetries of Lax-integrable PDEs, abstract
• Valery Yumaguzhin (Pereslavl-Zalessky)
  • Classification of 3rd-order linear differential equations, abstract

Proceedings

There will be no conference proceedings, but instead we plan to organize a special issue of a peer-review journal with contributions from the participants, with all submissions being refereed according to the regular procedure.

Conference Expenses

There is no participation fee. The venue, conference material and coffee breaks are free.

The participants are supposed to pay for their travel, lodging, and meals (including a social dinner and an excursion). It is possible to have a lunch at the SISSA canteen, very close to the conference room, for EUR 5-7.

A very limited financial support will be available to some participants upon request.

Location and Travel

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Room 005 (ground floor) of the SISSA Main Building, Via Bonomea 265, Trieste

The working days of the conference: 8-12 October.

The arrival day is 7 October (Sunday). The departure day is 12 (Friday) or 13 October (Saturday).

Because of Barcolana regatta in Trieste, hotels are busy for the night 12-13 October. Correspondingly, we plan to reduce the Friday afternoon session.

Travel information on the SISSA website:

• How to reach us
  • By airplane
  • By train and bus
  • By car

From the Trieste center SISSA can be reached by the 38 bus from via Galatti in front of Piazza Oberdan (opposite the Birreria Forst), see the map.

Hotels

SISSA has special discounted rates with the hotels listed here.

Please ask for the special fare directly when booking the hotel.

Below are two selections from the full list, one of which contains hotels in the center at less than 10 minutes walk from the 38 bus stop. The second selection lists hotels in the old town at 15-20 minutes walk from the 38 bus stop.

You can see all selected hotels on this map.

If you have any questions about your accommodation in Trieste please email the organizers at trieste18@gdeq.org.

Hotels in the center

Hotel Abbazia

Via della Geppa, 20

http://www.hotelabbaziatrieste.it

Albergo Alla Posta

Piazza Guglielmo Oberdan, 1

http://www.albergopostatrieste.it

Bed and Breakfast Decò "Torregiani"

Via Scala al Belvedere, 2

http://xoomer.virgilio.it/decobbtrieste

Bed and Breakfast Palazzo Panfilli

Via della Geppa, 2

http://www.palazzopanfilli.it

Hotel Colombia

Via della Geppa, 18

http://www.hotelcolombia.it

Hotel Italia

Via della Geppa, 15

http://hotel-italia.it

Hotel NH Trieste

Corso Cavour, 7

http://www.nh-hotels.it/hotel/nh-trieste

Hotel Milano

Via Carlo Ghega, 17

http://www.hotel-milano.com

B&B Hotel Trieste (Formerly Novo Hotel Impero)

Via Sant'Anastasio, 1

http://www.hotel-bb.com/it/hotel/trieste.htm

http://hotelimperotrieste.it

impero@fenicehotels.it

Nuovo Albergo Centro

Via Roma, 13

http://www.hotelcentrotrieste.it

Residence Le Terrazze

Via Fabio Filzi, 21

http://residenceleterrazzetrieste.it

Hotel Roma

Via Carlo Ghega, 7

http://www.hotelroma-trieste.it

B&B Atelier Lidia Polla

Via del Coroneo 1

http://atelierlidiapolla.com

Hotel Continentale

Via San Nicolò, 25

http://www.continentalehotel.com

Hotels in the old town

Grand Hotel Duchi D'Aosta Trieste

Piazza dell'Unità d'Italia, 2/1

http://www.duchi.eu

Starhotels Savoia Excelsior Palace

Riva del Mandracchio, 4

https://www.starhotelscollezione.com/en/our-hotels/savoia-excelsior-palace-trieste/

Urban Hotel Design

Androna Chiusa, 4

http://www.urbanhotel.it

Albero Nascosto

Via Felice Venezian, 18

http://www.alberonascosto.it

Locanda alle Beccherie

Via delle Beccherie, 5

http://allebeccherie.com

Casa Trauner

Via della Mura, 26

http://www.casatrauner.com

Residence del Mare

Via della Madonna del Mare, 4

http://www.residencedelmare.it

Hotel James Joyce

Via dei Cavazzeni, 7

http://www.hoteljamesjoyce.com

Hotel Porta Cavana

Via Felice Venezian, 14

http://www.hotelportacavana.it

Excursion

On Wednesday, 10 October there will be an excursion to the Postojna Cave.

It will start from the SISSA around 14:00 and will end in Trieste center around 20:00.

During 90 minutes guided visit we will see 5 km of the cave of which 3.2 km by riding an electric train and the rest by walking along an easy footpath. The temperature inside the cave is 8-10 °C and humidity is about 95%, so warm clothing is advised.

The excursion cost will be about EUR 40 for each participant and accompanying person.

If you are interested interested in participating, please notify the organizers as soon as possible. If you will be coming with accompanying persons, please include the number of them.

Conference Dinner

<imagemap> Image:deScarpon.png|right default [2] desc none </imagemap> A conference dinner will be on Thursday, 11 October at 19:30 at Osteria de Scarpon

The address: Via Della Ginnastica, 20

The cost will be EUR 32 for each participant and accompanying person.

The menu will be fish but a meat or vegetarian menus are available upon request.

Sponsors

• Dipartimento di Matematica e Fisica "Ennio De Giorgi", Università del Salento
• Scuola Internazionale Superiore di Studi Avanzati (SISSA)

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This page is constantly being updated.