Mathematical Challenges in Quantum Mechanics - Online Seminars
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Saturday, 1 November 2025 (09:00)
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Saturday, 30 May 2026 (23:00)
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Saturday, 1 November 2025
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Wednesday, 5 November 2025
11:30
MCQM PhD Lecture: Simon Larson
MCQM PhD Lecture: Simon Larson
11:30 - 12:30
Title: TBA Abstract: TBA
14:30
MCQM Seminar: Phan Thành Nam
MCQM Seminar: Phan Thành Nam
14:30 - 15:30
Title: Weyl's law: from music to quantum mechanics Abstract: I will discuss the spectral theory of Schrödinger operators, ranging from the general question “Can we hear the shape of a drum?” to semiclassical approximations. In particular, I will focus on Weyl’s law and explore several open problems, including the Lieb–Thirring conjecture (on the semiclassical constant), the Pólya conjecture (on the first-order term of Laplacian eigenvalues), Weyl’s conjecture (on the second-order term of Laplacian eigenvalues), and the Hardy–Landau conjecture (related to the Gauss circle problem).
Thursday, 6 November 2025
Friday, 7 November 2025
Saturday, 8 November 2025
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Thursday, 27 November 2025
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Monday, 1 December 2025
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Friday, 12 December 2025
Saturday, 13 December 2025
Sunday, 14 December 2025
Monday, 15 December 2025
Tuesday, 16 December 2025
Wednesday, 17 December 2025
11:30
MCQM PhD Lecture: Chris Bourne
MCQM PhD Lecture: Chris Bourne
11:30 - 12:30
Title: Gapped Hamiltonians and topological phases Abstract: Starting from the quantum Hall effect and, more recently, topological insulators, there is a vast physical and mathematical literature on 'topological phases of matter'. For this PhD Lecture, we will give a gentle introduction to this topic. We explain how topological quantities can be assigned to Hamiltonians with a spectral gap and how this quantity may change depending on symmetries of the underlying system.
14:00
MCQM Seminar: Gian Michele Graf
MCQM Seminar: Gian Michele Graf
14:00 - 15:00
Title: An elementary derivation of the periodic table of topological matter Abstract: Band insulators and superconductors are of topological interest, depending on the dimension of physical space and on their symmetry classes. Within the context of the independent particle approximation, their topological content is summarised by a periodic table (due to Kitaev and precursors) that lists the index groups for each dimension and each of 10 classes. Various derivations of the table have been provided. The talk is about one more, prompted by the striking feature that groups are constant along the diagonals of the table. That observation calls for a corresponding proof, which will be provided by an isomorphism between groups that are diagonal neighbours. The details of the isomorphisms depend on the pair of classes involved. For instance, if the domain of that map relates to a non-chiral class (and hence the codomain to a chiral class in the next lower dimension), the map itself can be understood quite simply by way of an analogy: A real bundle on a circle can be pictured as a strip, either as a Möbius strip or an ordinary one. The isomorphism is the one mapping the bundle to the clutching map that comes from cutting the circle. (Joint work with F. Santi).
Thursday, 18 December 2025
Friday, 19 December 2025
Saturday, 20 December 2025
Sunday, 21 December 2025
Monday, 22 December 2025
Tuesday, 23 December 2025
Wednesday, 24 December 2025
Thursday, 25 December 2025
Friday, 26 December 2025
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Wednesday, 31 December 2025
Thursday, 1 January 2026
Friday, 2 January 2026
Saturday, 3 January 2026
Sunday, 4 January 2026
Monday, 5 January 2026
Tuesday, 6 January 2026
Wednesday, 7 January 2026
11:30
MCQM PhD Lecture: María Ángeles García-Ferrero
MCQM PhD Lecture: María Ángeles García-Ferrero
11:30 - 12:30
Title: TBA Abstract: TBA
14:30
MCQM Seminar: Pedro Caro
MCQM Seminar: Pedro Caro
14:30 - 15:30
Thursday, 8 January 2026
Friday, 9 January 2026
Saturday, 10 January 2026
Sunday, 11 January 2026
Monday, 12 January 2026
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Wednesday, 25 February 2026
14:30
MCQM Seminar: Antti Knowles
MCQM Seminar: Antti Knowles
14:30 - 15:30
Thursday, 26 February 2026
Friday, 27 February 2026
Saturday, 28 February 2026
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