Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

 

Past events in this series


Mon, 02 Nov 2026
15:30
L5

Polytope invariants of sutured 3-manifolds

Jianru Duan
(Mathematical Insitute, Oxford)
Abstract

The dual Thurston norm ball of a 3-manifold is a polytope in its first real homology group. In this talk, I will introduce a natural generalization of this polytope to sutured 3-manifolds, constructed using L^2-torsion theory. The resulting invariant generalizes both the sutured Floer homology polytope and the taut foliation polytope, and yields beautiful decomposition and covering formulas. This is joint work with Yaoping Xie.

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Mon, 09 Nov 2026
15:30
L5

Abstract frameworks for discrete homotopy theory and the magnitude-path spectral sequence

Sarah Whitehouse
(University of Sheffield)
Abstract
In discrete homotopy theory, combinatorial objects such as graphs are studied via homotopy-theoretic tools, allowing the detection of ''holes'' and connectivity patterns in discrete networks. Many interesting invariants, including path homology and magnitude homology, are captured by the pages of the magnitude-path spectral sequence, or MPSS. A hierarchy of notions of homotopy is associated with the successive pages of this spectral sequence. I will talk about joint work with Muriel Livernet and Emily Roff, in which we establish an abstract homotopy-theoretic 
context related to this set-up.
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Mon, 16 Nov 2026
15:30
L5

TBC

Rhuaidi Burke
(Mathematical Institute Oxford)
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Mon, 30 Nov 2026
15:30
L5

TBC

Victor Roca i Lucio
(Université Paris Cité)
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