Events

Assistant Professor (, Yau Mathematical Sciences Center) will teach a crash course, "Vertex Operator Algebras and Conformal Blocks", at Aalto University between the 20th and 23rd of July, 2026.

Preliminary lectures on examples of conformal blocks and sheaf theory by academy research fellow Shinji Koshida:

Thu 16.7. at 10-12

Fri 17.7. at 10-12

Lecture hall M3 (Otakaari 1)

"Vertex Operator Algebras and Conformal Blocks" by Bin Gui:

Mon 20.7 at 10-12 - lecture hall U5 (Otakaari 1) 

Tue 21.7 at 10-12 - lecture hall U5 (Otakaari 1) 

Wed 22.7 at 10-12 - lecture hall U5 (Otakaari 1) 

Thu 23.7 at 10-12 - lecture hall U5 (Otakaari 1)

Abstract: "Vertex Operator Algebras and Conformal Blocks" by Bin Gui

In this minicourse, I will use 2d CFT in the sense of Segal to motivate the definition and basic properties of vertex operator algebras and conformal blocks. If time permits, I will explain how connections on conformal block bundles are defined using the idea of Virasoro uniformization, and how tensor categories of VOA modules are constructed using the basic properties of conformal blocks.

Assistant Professor () is teaching a crash course, 'Conformal removability in the complex plane', at the Kumpula campus of the University of Helsinki between 24th and 28th of August 2026.

Time: 24th-28th August at 14-16
Place: Exactum, C124 (Pietari Kalmin katu 5, 00560 Helsinki)

Abstract:

The problem of removability of a set asks whether one can glue functions of a given class along this set and obtain a function that still belongs in the same class. Removability for the class of (quasi)conformal maps has important applications in Analysis, Dynamics, and Probability. We therefore seek geometric conditions on sets that guarantee their removability. In principle, sets with "simple" topology and "good" geometry are removable. However, much less is known for sets that have "bad" geometry or sets whose complement has infinitely many connected components.

In this course, we present the basic theory of conformally removable sets, starting from elementary results in complex analysis. Our goal is to prove classical results such as the removability of rectifiable sets and of sets with "good" geometry. We also discuss some more recent sufficient conditions for removability that are close to optimal, as well as the non-removability of fractals with "complicated" topology, such as the Sierpiński carpet and the Sierpiński gasket.

No prior knowledge of the topic is assumed, other than elementary complex analysis.

The Geometric and Probabilistic Aspects in Conformal Field Theory Programme, chaired by Associate Professor Eveliina Peltola, takes place at the Centre International de Rencontres Mathématiques (CIRM) in Marseille, France from July to December of 2026. More information about the programme can be found .

Research School - Loop Models, Conformal Field Theory, and Geometry

, taking place from the 24th to the 28th of August 2026, aims to introduce young researchers to the field of Loop Models, Conformal Field Theory and Geometry, and to enable established researchers to expand their scope and to interact with others having slightly different backgrounds but working on related problems.

Conference - Geometric and Probabilistic Aspects in Quantum Field Theory

More information on the conference, running from the 31st of August to the 5th of September 2026, can be accessed .

Workshop - Logarithmic CFT, Loop Models, and Random Geometry

In the Logarithmic CFT, Loop Models, and Random Geometry Workshop, taking place 7-11.12.2026, the plan is to bring together experts with complementary expertise on these topics, for collaborating towards the rigorous foundations of CFT and especially their logarithmic aspects, and how they arise as scaling limits of lattice models. Read more about the workshop .

Please follow the link to see the record of our past activities.