[Symposium] Frontiers in Nonlinear Differential Equations and Stokes Phenomena


2023年9月4日 (月) (All day)2023年9月15日 (金) (All day)


OIST Seminar Room L4E48|B250


TSVP Symposium: Frontiers in Nonlinear Differential Equations and Stokes Phenomena

linked to TSVP Thematic Program:
Exact Asymptotics: From Fluid Dynamics to Quantum Geometry

>> The presentation slides of many talks can be found in the download section at the bottom of this page.

Symposium Poster


Asymptotic methods and perturbation theory are fundamental tools, and widely used in practically every field of the physical and theoretical sciences, from fluid mechanics and medical imaging, to condensed matter physics and string theory.  Despite their ubiquity, however, advances in asymptotic analysis, particular beyond-all-orders asymptotics, has been led by fragmented communities in pure mathematics, applied mathematics, and theoretical physics. The intention of this symposium is to bring together a number of such distinct communities and to encourage interaction and knowledge exchange.

The symposium will have a novel format designed to encourage communication amongst specialists in disparate areas. The first week will begin with a number of panorama talks (accompanying other public lectures) on rigorous asymptotics, applications to physical sciences, and asymptotics in geometry and physics. During the symposium, speakers will be encouraged to link their research-level talk with separate introductory talks, designed to communicate the key ideas and language in an accessible way. Discussions and final-day debriefs will also encourage knowledge sharing between disparate fields.

Confirmed Participants

(updated 2023/08/30)
Dylan Allegretti, Cecilie Andersen, Jon Chapman, Samuel Crew, Dan Dai, Fabrizio Del Monte, Nicolas Delporte, Harini Desiraju, Nick Dorey, Pavlo Gavrylenko, Martin Guest, Kohei Iwaki, Takeshi Kataoka, Omar Kidwai, Oleg Lisovyi, Chris Lustri, Gergő Nemes, Nikita Nikolaev, Adri Olde Daalhuis, Robert Osburn, Cihan Pazarbaşı, Shinji Sasaki, Josh Shelton, Akira Shudo, Yoshitsugu Takei, Yumiko Takei, Philippe Trinh, Nicholas Williams, Daniel Zhang

Daily shuttle from the Seaside house to OIST main campus

Please use the OIST shuttle bus service in the morning to get to the main campus. It arrives at 8:42 and 9:00 in front of the Seaside House. In the evening there are buses from OIST Auditorium to Seaside House, e.g. at 18:05 and 18:35.
Full shuttle bus schedules (link only accessible on campus): https://groups.oist.jp/bfm/shuttle-bus
- there are three shuttle bus lines on weekdays, and one on the weekend.

Daily Taxi Schedule: In the evenings, participants can make use of several taxis that will take them from OIST and Seaside House to the small downtown area of Onna village were many restaurants are located.
Schedule: Every weekday from September 4th to 14th
18:00 OIST Auditorium > Peridot Smart Hotel > Seaside House > Onna village, Moon beach area (near Family Mart)

Return pickup at Family Mart in Onna village at 20:30

On Saturday 9/9 the taxis will leave 30min later. On Sunday 9/10 there will be no taxi shuttles. Download daily schedule as pdf here.

Venues (map)

All events will take place at OIST's main campus (access).
TSVP office area: Lab 5, Floor EF, Room 03, registration/visitor offices/discussions/symposium venue from Sept 11-14
L4E48: Large seminar room in Lab 4, floor E, symposium venue from Sept 5-7
C209: Medium sized seminar room in Center Building (floor C), symposium venue on Sept 8
B250: Sydney-Brenner lecture theater in Center Building, general-audience Talk on Sept 13 at 3pm

All rooms are accessible through the main entrance tunnel via elevator to floor B/C. OIST Lab buildings are connected by tunnel on level B. OIST-ID card is required to access all building except the center building (cafeteria and cafe are open to the public). Please check the map for details.

Conference Banquet and Excursion

We hope all participants will join both the banquet and the excursion (free of charge for invited/registered participants).

Banquet: Thursday, September 7th from 18:30 at Okinawan style restaurant Umusan no Niwa in Onna village (taxis leave OIST at 18:00, return trip from 21:00)

Excursion: Saturday, September 9th from 9:00 until approx. 17:30 by bus. Destinations: Ryukyu Mura (traditional Okinawan village), American Village (lunch), Katsuren castle ruins, Miyagi Ocean road


※ Please note that this event will be (partially) recorded and the videos uploaded. In addition, photos may be taken during the event. These are intended for publication online to report on the OIST website, social media, etc.※

Timetable (pdf; abstracts)

Updated on 2023-09-07

Frontiers in Nonlinear Differential Equations and Stokes Phenomena
Symposium Schedule

For further details or inquiries, please contact the TVSP Team at <tsvp@oist.jp>
Guide to symposium talk types
Public talk (50 min, 10 min questions) Accessible to both non-specialists and the wider public; these talks will be made available on YouTube; very wide ranging audience from non-mathematicians and non-scientists to specialists
Panorama talk (50 min, 10 min questions) Colloquium-style introduction to important questions in the area, overview of research etc. Accessible to an audience that may span several disciplines in pure and applied mathematics and theoretical physics.
Lectures (50 min, 10 min questions) Graduate-level summer school. Pedagogical to enable the various research areas to be able to interact.
Research talks (25 min intro, 5 min break, 25 min research, 5 min questions) We will ask everyone to prepare their talks with 25 minutes of pedagogical background and 25 minutes of research talk. This split may be enforced by having a break in between the two halves!
Monday 4 Sept, Venue: L5EF03
14:00 onwards Registration in TSVP area, OIST Lab 5 EF03 (access)
16:00-17:00 Welcome coffee at TSVP area
Tuesday 5 Sept, Venue: L4E48
Time Speaker Topic
09:30-10:30 Adri Olde Daalhuis (University of Edinburgh) Panorama talk on exponential asymptotics
10:30-11:00 Coffee
11:00-12:00 Shinji Sasaki (Shibaura Institute of Technology) Borel summability of transformation to canonical equations in the exact WKB analysis
12:00-13:15 Lunch
13:15-13:30 Welcome by OIST's Dean of Research Nicholas M. Luscombe
13:30-14:30 Philippe Trinh (University of Bath) An introduction to applied exponential asymptotics: methodology and computation
14:30-15:00 Coffee
15:00-16:00 Dan Dai (City University of Hong Kong) Asymptotics and total integrals of the P(i)² tritronquée solution and its Hamiltonian
16:00 onwards Coffee, free discussion, end of day
Wednesday 6 Sept, Venue: L4E48
Time Speaker Topic
9:30-10:30 Oleg Lisovyi (Université de Tours) Perturbative connection formulas for Heun equations
10:30-11:00 Coffee
11:00-12:00 Pavlo Gavrylenko (SISSA) Isomonodromic deformations on a torus, Fredholm determinants, and Nekrasov partition functions.
12:00-13:30 Lunch
13:30-14:30 Akira Shudo (Tokyo Metropolitan University) The role of new Stokes curves in some physics problems
14:30-16:00 Coffee and free time
16:00-17:00 Nikita Nikolaev (University of Birmingham) Research talk (online)
17:00 onwards Coffee, free discussion, end of day
Thursday 7 Sept, Venue: L4E48
Time Speaker Topic
9:30-10:30 Yoshitsugu Takei (Doshisha University) On the exact WKB analysis for difference equations
10:30-11:00 Coffee
11:00-12:00 Harini Desiraju (SMRI, University of Sydney) Monodromy dependence of tau-functions on the torus
12:00-13:30 Lunch
13:30-14:30 Dylan Allegretti (Tsinghua University) Asymptotics of spectral coordinates
14:30-15:00 Coffee
15:00-16:00 Akira Shudo (Tokyo Metropolitan University) Quantum Signatures of Chaos
18:30-20:30 Conference banquet at Umusan no Niwa restaurant in Onna village (Taxis depart OIST at 18:00)
Friday 8 Sept, Venue: Center, C209
Time Speaker Topic
9:30-10:30 Martin Guest (Waseda University) Stokes Phenomena in geometry
10:30-11:15 Coffee
11:15-12:15 Nicolas Delporte (OIST) Peeking at quantum gravity with self-overlapping curves
12:15-13:30 Lunch
13:30-14:30 Fabrizio Del Monte (University of Sheffield) Wall-Crossing and Discrete Integrable Systems
14:30 onwards Discussions in TSVP area L5EF03
Saturday 9 Sept
09:00-17:30 Excursion for participants and family
Monday 11 Sept, Venue: L5EF03
Time Speaker Topic
9:30-10:30 Nick Dorey (University of Cambridge) Panorama talk
10:30-11:00 Coffee
11:00-12:00 Kohei Iwaki (University of Tokyo) Non-linear Stokes phenomenon for Painleve tau-function and topological recursion
12:00-13:30 Lunch
13:30-14:30 Gergő Nemes (Tokyo Metropolitan University) An introduction to exponential asymptotics
14:30-15:00 Coffee
15:00-15:30 Cecilie Andersen (University of Bath) Exponential asymptotics for the Saffman-Taylor problem in a wedge (online)
15:30 onwards Coffee, free discussion, end of day
Tuesday 12 Sept, Venue: L5EF03
Time Speaker Topic
9:30-10:30 Jon Chapman (University of Oxford) Asymptotics beyond all orders: the devil's invention?
10:30-11:00 Coffee
11:00-12:00 Yumiko Takei (Ibaraki College) Research talk
12:00-13:30 Lunch
13:30-14:00 Chris Lustri (University of Sydney) Research talk (online)
14:00-14:30 Coffee
14:30-15:00 Josh Shelton (University of Bath) Beyond-all-order effects in surface water waves (online)
15:00 onwards Coffee, free discussion, end of day
Wednesday 13 Sept, Venue: L5EF03
Time Speaker Topic
9:30-10:30 Robert Osburn (UCD) Strange identities, the Habiro ring and resurgence
10:30-11:00 Coffee
11:00-12:00 Takeshi Kataoka (Kobe University) 2D ship waves and exponential asymptotics
12:00-13:30 Lunch
13:30-14:30 Cihan Pazarbaşı (OIST) Research talk
14:30-15:00 Coffee
15:00-16:00 Jon Chapman (University of Oxford) - Venue: Center, B250 Waves and Resonance: From Musical Instruments to Vacuum Cleaners, via Metamaterials and Invisibility Cloaks
16:00 onwards Coffee, free discussion, end of day
Thursday 14 Sept, Venue: L5EF03
Time Speaker Topic
9:30-10:30 Omar Kidwai (University of Birmingham) Quantum curves from refined topological recursion
10:30-11:00 Coffee
11:00-12:00 Samuel Crew (MPI) Research Talk
12:00-13:30 Lunch
13:30 onwards Coffee, free discussion, end of day
Friday 15 Sept
Coffee, free discussion, departure


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