Licentiate Seminar: Small energy isotopies of loose Legendrian submanifolds
- Date: 12 June 2023, 13:15–14:30
- Location: Ångström Laboratory, Å4001
- Type: Licentiate seminar
- Lecturer: Lukas Nakamura
- Organiser: Matematiska institutionen
- Contact person: Lukas Nakamura
Welcome to this licentiate seminar where Lukas Nakamura defends his licentiate thesis with the title "Small energy isotopies of loose Legendrian submanifolds".
Abstract: We prove that for a closed Legendrian submanifold L of dimension n ≥ 2 with a loose chart of size η, any Legendrian isotopy starting at Lcan be C0-approximated by a Legendrian isotopy with energy arbitrarily close to η. This in particular implies that the displacement energy of loose displaceable Legendrians is bounded by half the size of its smallest loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan [DRS20].
Álvaro del Pino Gómez, Universiteit Utrecht, The Netherlands
Supervisor: Tobias Ekholm