Time and venue:
Unless otherwise stated, seminars are on Wednesdays at 3pm. These take place on Zoom or in person, usually in Roger Stevens LT 11. When on Zoom we will still meet (when possible) to view the Zoom seminar. The joint geometry and analysis seminars are co-organised with Ben Sharp. Programme Semester 1:
9 October - 15:00 - Roger Stevens LT11- in person
Prachi Sahjwani (University of Cardiff) Stability of geometric inequalities in various spacesAbstract.
In this talk, I will discuss the stability of two inequalities: the "Alexandrov-Fenchel inequalities in hyperbolic space" and "Minkowski's inequality in a general warped product space." I will give a brief overview of both inequalities and their respective stability problems. To explain what I mean by stability, I will first discuss it in the context of the isoperimetric inequality, which is a special case of the Alexandrov-Fenchel inequalities. I will also briefly discuss the proofs in both cases. This is joint work with Prof. Dr. Julian Scheuer and is based on the work of Wang/Xia on Alexandrov-Fenchel inequalities and the work of Brendle/Hung/Wang and Scheuer on Minkowski's inequality.
Joint Geometry and Analysis Seminar
16 October - 15:00 - Roger Stevens LT11 - in person
Arjun Sobnack (University of Warwick) Delayed parabolic regularity for the Curve Shortening FlowAbstract.
The Curve Shortening Flow (CSF) is a parabolic partial differential equation (PDE) which arises as the L^{2}â€“gradient flow of the length functional. It is a general phenomenon that parabolic PDEs do not observe an instantaneous L^{1}â€“smoothing property (as they do for L^{1 < p< ∞}).Nonetheless, in a recent preprint P. M. Topping & S. propose the framework that, two planer curves evolving under the CSF to trap a fixed area start observing a smoothing estimate after waiting for a time depending only on the area, which is a type delayed L ^{1}-smoothing estimate.The aim of this talk is to introduce the principle of delayed parabolic regularity for the CSF and to demonstrate that it is sharp, and also to present some applications of localised versions of the estimates. Joint Geometry and Analysis Seminar
30 October - 15:00 - Chemistry West Lecture Theatre F - in person
Stuart Hall (University of Newcastle) Note the unusual room!Rigidity results for Grassmannians and some other symmetric spacesAbstract.
I will report on recent joint work with Paul Schwahn and Uwe Semmelmann where we show that the canonical Einstein metric on 'odd' Grassmannians is rigid. Time permitting, I will discuss an approach to demonstrating this for the spaces SU(n)/SO(n) and SU(2n)/Sp(n).
Geometry Seminar
6 November - 15:00 - Chemistry Lecture Theatre B (2.17) - in person
Kasia Wyczesany (University of Leeds) Note the unusual room!Zoo of dualities and related inequalitiesAbstract.
In this talk, we will discuss order reversing quasi involutions, which are dualities on their image, and their properties. We will relate to the classical example called ``polarity'', which corresponds to duality between finite-dimensional normed spaces, and generates many interesting questions. We prove that any order reversing quasi involution is of a special form and discuss how this unified point of view on order reversing quasi involutions helps to deepen the understanding of the underlying structures and principles.
This talk is based on joint work with Shiri Artstein-Avidan and Shay Sadovsky.
Joint Geometry and Analysis Seminar
13 November - 15:00 - Chemistry Lecture Theatre B (2.17) - in person
Philipp Reiser (Université de Fribourg) Note the unusual room!Joint Geometry and Analysis Seminar
20 November- 15:00 - Roger Stevens LT11 - in person
Gautam Chaudhuri (University of Leeds) Joint Geometry and Analysis Seminar
27 November - 15:00 - Roger Stevens LT11 - on zoom
Maxime Fortier Bourque (Université de Montréal) Geometry Seminar
4 December - 15:00 - Roger Stevens LT11 - in person
Marco Guaraco (Imperial College London) Joint Geometry and Analysis Seminar
11 December - 15:00 - Roger Stevens LT11 - in person
Michelle Daher (University of Leeds) Geometry Seminar
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