QMUL Geometric Analysis Reading Seminar 2020/2021

Semester A

The topic for this semester will be Lojasiewicz Inequalities. In particular, we will be interested in applications to geometric analysis. The meeting will be held on Mondays (see the link in the calendar below).

  Lojasiewicz Inequalities

  • November 16th- Introduction to Lojasiewicz inequalities (Huy Nguyen) and Asymptotics for a Class of Nonlinear Evolution Equations with Applications to Geometric Problems (Gianmichele di Matteo)
  • November 23rd – On uniqueness of tangent cones for Einstein manifolds (Shengwen Wang)
  • November 30th – Uniqueness of compact tangent flows in Mean Curvature Flow (Florian Litzinger)
  • December 7th – Dynamical stability and instability of Ricci-flat metrics (Louis Yudowitz) 

Introduction to mean curvature flow (2020 fall)

One of our PDRAs, Shengwen Wang, is giving a course on mean curvature flow, lecture time: Monday 10:30am-12:30am, Oct 5, 2020 to Nov 2, 2020. The details can be found here. 

QMUL Geometric Analysis Reading Seminar 2019/2020

Semester B

The meetings will be held in MB503 Tuesday 13-15.

Introduction to Currents – 

  • January 29th – Introductory Measure Theory (Louis Yudowitz)
  • February 18th –  Rectifiable Sets (Josh Daniels-Holgate)
  • February 25th –  Forms and Rectifiable Currents (Quintin Luong)
  • March 3rd – Slicing (Shengwen Wang)
  • March 10th – The deformation theorem and applications (Mario Schulz)
  • March 17th – The rectifiablity theorem and applications (Florian Litzinger)
  • March 24th – Mass minimising currents – Existence and compactness results + tangent cones (Gianmichele di Matteo)
  • March 31st – Some regularity results (Volunteer)

Participants : Huy Nguyen, Mario Schulz, Shengwen Wang, Gianmichele di Matteo, Florian Litzinger, Quintin Luong, Louis Yudowitz, Joshua Daniels-Holgate

Semester A 

We will consider min-max constructions following the paper of Colding-de Lellis. The seminars will take place in MB-503 (note that we will be moving back to our Maths Building for the new semester).

  • 04/09/2019: 10-12:Case of Curves – Reto Buzano
  • 04/09/2019: 13-15: Overview of the Proof – Huy Nguyen
  • 05/09/2019: 10-12:Limits of suitable min-max sequences are stationary – Shengwen Wang
  • 06/09/2019: 10-12: Almost minimizing min-max sequences – Florian Litzinger
  • 06/09/2019: 13-15: Regularity of the replacements I– Mario Schulz
  • 09/09/2019: 15-17: Regularity of the replacements II– Mario Schulz
  • 24/09/2019: 13:15: Construction of the replacements I– Gianmichele di Matteo
  • 01/10/2019: 13-15: Construction of the replacements II– Gianmichele di Matteo
  • 09/10/2019: 10-12: Rigidity of Min-Max Minimal Spheres in Three-Manifolds – Mario Schulz

PDE Reading Seminar 

We will be running a PhD level reading seminar on partial differential equations. The meetings will be held in MB503 on Tuesdays 13:00-15:00.

Topics

  • Schauder Estimates via Campanato spaces
  • L^p Estimates for systems of elliptic partial differential equations
  • Nash-Moser theory
  • Krylov-Safonov estimates

Participants : Huy Nguyen, Mario Schulz, Shengwen Wang, Gianmichele di Matteo, Florian Litzinger, Quintin Luong, Louis Yudowitz, Joshua Daniels-Holgate  

QMUL Geometry and Analysis Research Seminar

  • 15/01/2019 (3:00pm): Matthieu Léautaud (École Polytechnique), Unique continuation and intensity of waves in the shadow region (Room W316)
  • 22/01/2019 (3:00pm): Andrew McCleod (UCL), Global Regularity of Three-Dimensional Ricci Limit Spaces (Room W316)
  • 30/01/2019 (3:30pm): Mahdi Godazgar (QMUL), Asymptotic charges in gravity (Room 516, G.O. Jones Building)
  • 05/02/2019 (3:00pm): Andrea Mondino (Warwick), Some smooth applications of non-smooth Ricci curvature lower bounds (Room W316)
  • 12/02/2019 (3:00pm): Mariel Saez (Pontificia Universidad Católica de Chile), On the uniqueness of graphical mean curvature flow (Room W316)
  • 20/02/2019 (3:30pm): Maximilian Attems (University of Santiago de Compostela), Shockwave collisions across a phase transition (Room 516, G.O. Jones Building)
  • 26/02/2019 (3:00pm): Léo Bigorgne (Orsay), Asymptotics properties of the small data solutions of the Vlasov-Maxwell system (Room W316)
  • 12/03/2019 (3:00pm): Zoe Wyatt (Edinburgh), Attractors of the Einstein-Klein-Gordon system (Room W316)
  • 20/03/2019 (3:30pm): Claude Warnick (Cambridge), Black holes and scattering resonances (Room 516, G.O. Jones Building)
  • 26/03/2019 (3:00pm): Stephen McCormick (Uppsala), Some recent developments on Bartnik’s quasi-local mass (Room W316)
  • 15/07/2019(3:00pm): Prof. Hanfeng Li (SUNY at Buffalo), TBA (Room W316)

Past QMUL Geometric Analysis Reading Seminar

In Semester B of 2019, we were working on geometric measure theory:

  • 24/01/2019 (11:00am): Huy Nguyen (QMUL), Smooth analogues of Allard’s regularity theorem (Room W316)
  • 31/01/2019 (11:00am): Jasmin Hörter (Karlsruhe), Preliminaries from analysis (Room W316)
  • 07/02/2019 (11:00am): Florian Litzinger (QMUL), Further preliminaries from analysis (Room W316)
  • 14/02/2019 (11:00am): Florian Litzinger (QMUL), Further preliminaries from analysis, part II (Room W316)
  • 28/02/2019 (11:00am): Gianmichele Di Matteo (QMUL), Rectifiable sets (Room W316)
  • 07/03/2019 (11:00am): Albert Wood (UCL), An introduction to varifolds (Room W316)
  • 14/03/2019 (11:00am): Konstantinos Leskas (UCL), Allard’s regularity theorem: Lipschitz approximation and approximation by harmonic functions (Room W316)
  • 21/03/2019 (11:00am): Florian Litzinger (QMUL), Allard’s regularity theorem: The main argument (Room W316)
  • 28/03/2019 (11:00am): Gianmichele Di Matteo (QMUL), Allard’s regularity theorem: Finishing the proof (Room W316)

Calendar

The following is a calendar that contains events in Geometry and Analysis at Queen Mary, King’s College London and University College London,