Program · Registration · Access

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Developing an understanding of solutions to the heat equation is a fundamental problem across various areas of mathematics, including probability theory, partial differential equations, and Riemannian geometry. In particular, establishing matching upper and lower bounds for the heat kernel is of paramount importance, and this has been achieved in Euclidean spaces, on manifolds, and on certain fractal spaces. This workshop will bring together experts working on modern research in this area, including topics such as heat kernel estimates for diffusions in disordered media and for jump processes. The workshop will also cover related potential-theoretic notions, such as the construction of the p-energy on anomalous spaces, which is motivated by the study of nonlinear modifications of the heat equation. We hope that the event will foster connections that lead to further breakthroughs in the future.

Will appear here.

Shiping Cao (Chinese University of Hong Kong)
Aobo Chen (Tsinghua University)
Takanobu Hara (Tohoku University)
Shouhei Honda (University of Tokyo)
Eryan Hu (Beijing Institute of Technology)
Jun Kigami (Kyoto University)
Minhyun Kim (Hanyang University)
Panki Kim (Seoul National University)
Takashi Kumagai (Waseda University)
Xinyi Li (Peking University)
Xiangqian Meng (Kyoto University)
Mathav Murugan (University of British Columbia)
Izumi Okada (University of Tokyo)
Kohei Sasaya (University of Tokyo)
Ecaterina Sava-Huss (University of Innsbruck)
Yuichi Shiozawa (Doshisha University)
Tianyi Zheng (University of California, San Diego)

Naotaka Kajino (Kyoto University, Chair)
David Croydon (Kyoto University)
Ryosuke Shimizu (Kyoto University)

Registration information appears here.

• All talks will be given in person, but will also be broadcast online.
• For in-person participation, there is no registration deadline. However, we will close the registration for in-person participation if the room capacity is reached.
• For online participation, we ask you to register by 7 May 2026. We will not be able to guarantee providing access information if you register after this date.
• In April, we will contact registered participants about a workshop dinner, which will be held on 12 May 2026. So, if you would like to attend that, please do not leave registration too late!

All talks will take place in room 420 of RIMS. Access information for RIMS appears here.

There are not many hotels especially close to Kyoto University, but there are plenty in the more central areas of the city, from which it is easy to commute by bus. (See here for a city bus map.) In particular, if you book a hotel within (or close to) the region contained within the streets Marutamachi - Kawaramachi - Shijo - Karasuma (in the north, east, south, west, respectively), then there will be no problem in accessing the University. Concerning booking, probably the easiest is to use a general hotel booking website (such as booking.com or expedia, etc), but if you have specific questions, please do not hesitate to contact a member of the local organising committee.

Those participating in a research activity at RIMS are asked to read its Code of Conduct carefully and understand how this applies to them. (Japanese version.)

Please see this page for information about RIMS' response to the novel coronavirus. (Japanese version.)

It is possible to arrange a temporary nursery place on campus during the research meeting for the use of researchers with children. For details, please contact one of the local organisers or the Cooperative Research Service Section at RIMS. [Note that, in order to make arrangements in time, you will need to request a space at least one month prior to the event.]