The Young Topologists Meeting (YTM) is an annual conference for graduate students, recent PhDs, and other junior researchers in topology, both pure and applied. This year, it is jointly organized by Stockholm University and KTH Royal Institute of Technology. Previous editions of the conference have been organized by the University of Münster, EPFL, the University of Copenhagen, and Stockholm University/KTH.
This yearly meeting is an opportunity for young researchers in topology to share their work and make new connections. In addition to short talks given by the participants and a poster session, the program features three guest lecture series, by Frédéric Chazal (Inria Saclay), Manuel Krannich (Karlsruhe Institute of Technology), and Maria Yakerson (IMJ-PRG).
In topology, obstruction theory is a powerful tool that allows one to tackle lifting and extension problems. In particular, obstruction theory helps to classify vector bundles in terms of algebraic invariants. More concretely, it often provides an answer to the question whether a vector bundle can be decomposed as a direct sum with a trivial subbundle.
Motivic homotopy theory is a modern research area that combines homotopy theory with algebraic geometry. The main motto is that we apply, when possible, methods from homotopy theory to gain new information about objects in algebraic geometry. In particular, there is a motivic version of obstruction theory, developed by F. Morel, A. Asok, J. Fasel et al., which allows us to approach splitting problems for algebraic vector bundles on smooth affine varieties. In this lecture series, we will see the main instruments of motivic obstruction theory which stem from topological ideas, and we will learn how these ideas give applications in algebra and algebraic geometry.
The conference will begin at 10:00 on Monday, June 23rd and end at 16:00 on Friday, June 27th. The detailed schedule will come later.
Register here . The application for giving talks or presenting posters is closed, but you can still register to simply attend.
Registration to give a talk, to present a poster, or for funding closes on March 21st, 2025. Registration for simple attendance closes on April 25th, 2025. There is no registration or conference fee.
YTM 2025 will be taking place mostly on KTH campus, with one half-day at Albano (SU).
The closest hotel to the conference is the Elite Hotel Arcadia. Some hostels around Stockholm are Generator Stockholm, City Hostel, and Zinkensdamm. These hostels are a ~30 minute public transportation trip away from the conference.
The organizing committee is: Benedetta Andina, Ronno Das, Christina Kapatsori, Oliver Lindström, Jan McGarry Furriol, Isaac Ren, Elmo Vuorenmaa, and Björn Wehlin.
