Waterloo Geometry Working SeminarAcademic Year 2019-2020 May 14 Benoit Charbonneau - Maple for Differential Geometry May 21 Eric Boulter - Complex and Para-Complex Structures on the Total space of Tangent Bundles Reference (TBA) Christopher Lang - Using Group Actions to Simplify Nahm Data Reference May 28 Shubham Dwivedi - Differential Harnack estimates Reference 1 (Chapter 10), Reference 2 Reference 3 Spiro Karigiannis - Bubble Tree Convergence for Harmonic maps Reference June 4 Patrick Naylor - Handles and Kirby diagrams Reference June 11 Spencer Whitehead - Decorated Coxeter Diagrams Reference 1, Reference 2 Christopher Lang - The ADHM-Nahm Procedure Reference (TBA) June 18 Ragini Singhal - Self-dual Yang-Mills connections on non-self-dual 4-manifolds Reference Anton Iliashenko - Mean curvature flow of a manifold inside the tangent bundle Reference (TBA) June 25 Carlos Valero - Monopoles and G-Invariant ASD Connections Reference Brennen - Para-complex linear algebra Reference (TBA) July 2 Benoit Charbonneau - Index theorem for non-Fredholm operators Reference 1, Reference 2 July 9 Eric Boulter - Topology of the moduli space of stable bundles on a Riemann surface Reference 1, Reference 2 (Chapter 4) Carlos Valero - Singular Hermitian–Einstein Monopoles on the Product of a Circle and a Riemann Surface Reference 1, Reference 2 July 16 CUMC Rehearsals July 23 Patrick Naylor - Examples of Handle Decompositions Reference July 30 Anton Iliashenko - First and Second variation of the Volume functional Reference Spiro Karigiannis - Vector cross products and calibrations: some non-standard inner product space theory Reference (TBA) August 6 Spencer - Regular polytopes and uniform polytopes Reference (TBA) Brennen August 13 Ragini Singhal - Self-dual Yang-Mills connections on non-self-dual 4-manifolds - Part 2 Reference Winter ⛄ Schedule - Tuesday from 9-11 AM in MC 5413. January 29 Shubham Dwivedi - Perelman's ℱ-functional Reference 1 (Chapter 5), Reference 2, Reference 3 February 5 S. Ali Aleyasin - Toric geometry of G2 manifolds - Part 1 Reference February 26 Carlos Valero - Some characterizations of Dirac-type singularity of monopoles Reference March 5 Ragini Singhal - Deformation of nearly G2 instantons - Part 1 Reference (TBA) March 12 Ragini Singhal - Deformation of nearly G2 instantons - Part 2 Reference (TBA) March 19 S. Ali Aleyasin - Toric geometry of G2 manifolds - Part 2 Reference March 26 Patrick Naylor - Trisections of 4-manifolds - Part 1 Reference 1 , Reference 2 April 2 Patrick Naylor - Trisections of 4-manifolds - Part 2
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