Classical Function Theory in Modern Mathematics

Home > Workshops > 2024 > Classical Function Theory in Modern Mathematics

Classical Function Theory in Modern Mathematics

 01 - 05 Jul 2024

ICMS, Bayes Centre, Edinburgh

 Enquiries

  • Lasse Rempe, University of Liverpool
  • Vasiliki Evdoridou, The Open University
  • Eugenia Malinnikova, Stanford University
  • Sergiy Merenkov, City College of New York
  • David Martí-Pete, University of Liverpool
  • Byung-Geun Oh, Hanyang University

About:

This workshop will explore applications of classical function theory within modern mathematics. It will bring together researchers from a diverse collection of mathematical fields, whose common ground is that they use function theory to make major progress in their area of study.

These participants may not usually interact, but will be able to communicate mathematically due to their shared background in complex analysis, providing fertile ground for fruitful new interactions between subjects, and thereby for fundamental progress in many areas of mathematics.

The timing of the workshop has been chosen to also celebrate the 70th birthday of Professor Alexandre Eremenko (Purdue University), a world leader in function theory whose work has had a profound influence on a wide range of disciplines, including the theory of meromorphic functions, differential equations, dynamical systems, geometry (both differential and algebraic), potential theory, holomorphic curves, and theoretical physics.

Participation:

If you applied and have not received an email, please get in touch using the 'enquiries' link above. You may need to check your spam. No late applications and walk-in participants will be accepted 

Scam Warning:

We are aware of a number of current scams targeting participants at ICMS workshops in relation to registration or accommodation bookings. If you are approached by a third party (eg travellerpoint.org, Conference Committee or Royal Visit) asking for booking or payment details, please ignore.

Please remember:
i) ICMS never uses third parties to do our administration for events: messages will come directly from ICMS staff
ii) ICMS will never ask participants for credit card or bank details
iii) If you have any doubt about an email you receive please get in touch
 

Programme

MONDAY 01 JULY 2024: Differential Equations
09:15–09:30 Registration and Refreshments
09:30–09:45 Welcome and Housekeeping
09:45–10:45 Alan Sokal, University College London Some conjectures concerning the zeros of the deformed exponential function
10:45–11:15 Refreshments
11:15–12:15 Eveliina Peltola, Aalto University and University of Bonn On geometric properties of conformally invariant curves
12:15–14:30 Lunch
14:30–15:00 Lakshmi Priya, Tel Aviv University Almost sharp lower bound for the nodal volume of harmonic functions
15:00–16:00 Masaki Tsukamoto, Kyoto University Rate distortion dimension of random Brody curves
16:00–16:30 Refreshments
16:30–17:30 Patrick Ng, University of Hong Kong Brody holomorphic curves on the degree six Fermat surface
17:30–19:00 Drinks reception & poster session
TUESDAY 02 JULY 2024: Complex Dynamics
09:30–10:30 Walter Bergweiler, University of Kiel The escaping set
10:30–11:00 Refreshments
11:00–12:00 Gwyneth Stallard, Open University Shrinking targets and recurrent behaviour for forward compositions of inner functions
12:00–14:30 Lunch
14:30–15:00 James Waterman, Stony Brook University A counterexample to Eremenko's conjecture
15:00–16:00 Melkana Brakalova-Trevithick, Fordham University When the circular dilatation at a point equals one
16:00–16:30 Refreshments
16:30–17:30 Mitsuhiro Shishikura, Kyoto University Reconstructing the dynamics via dynamical charts from a sequence of near-parabolic or cylinder renormalization
18:00–19:00 Public Lecture, hosted in G.03 (ground floor)
WEDNESDAY 03 JULY 2024: Geometry
09:30–10:30 Mario Bonk, UCLA Lamé functions and special elliptic integrals
10:30–11:00 Refreshments
11:00–11:30 Ilmari Kangasniemi, University of Cincinnati On the theory of quasiregular values
11:30–12:30 Yilin Wang, IHES Jordan curves with the piecewise geodesic property
12:30 onwards Lunch and free afternoon
THURSDAY 04 JULY 2024: Meromorphic Functions
09:30–10:30 Mikhail Sodin, Tel Aviv University Equivariant Weierstrass theorem
10:30–11:00 Refreshments
11:00–12:00 Aimo Hinkkanen, University of Illinois Urbana-Champaign Moments and positivity
12:00–14:30 Lunch
14:30–15:00 Adi Glucksam, Northwestern University Multi-fractal spectrum of planar harmonic measure
15:00–16:00 Oleg Ivrii, Tel Aviv University Critical values of inner functions
16:00–16:30 Refreshments
16:30–17:30 Problem session, chair: Phil Rippon
19:00 Workshop Dinner
FRIDAY 05 JULY 2024: Geometry
09:30–10:30 Dmitri Panov, King's College London Spherical surfaces and their moduli spaces
10:30–11:00 Refreshments
11:00–12:00 Andrei Gabrielov, Purdue University Classification of generic spherical quadrilaterals
12:00 onwards Lunch and End of Workshop