Academic 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

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