M397S: Graduate Literature Seminar in Geometry


Announcements


Basic Information

Professor: Dan Freed, RLM 9.162

Class Meetings: MWF 3:00-4:00, RLM 11.176 (see Schedule below)

Online discussion forum: click here


Schedule

January 14: Braxton Collier G. Segal, Classifying spaces and spectral sequences
January 16: Nestor Guillen R. Schoen, Conformal deformation of a Riemannian metric to constant scalar curvature
January 23: Michael Williams D. Quillen, Superconnections and the Chern character
January 25: Orit Davidovich S. S. Chern, F. Hirzebruch, J.-P. Serre, On the index of a fibered manifold
February 6: Mio Alter J. Milnor, On manifolds homeomorphic to the 7-sphere
February 8: Rory Rother J. F. Adams, M. F. Atiyah, K-theory and the Hopf invariant
February 18: Ning Kang S. Mori, Projective manifolds with ample tangent bundles
February 20: Daniel Blazevski S-S Chern, A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
February 22: Nestor Guillen R. S. Hamilton, Worn stones with flat sides
February 27: Braxton Collier M. F. Atiyah, R. Bott, A. Shapiro, Clifford modules
March 3: Michael Williams S-S Chern, J. Simons, Characteristic forms and geometric invariants
March 5: Orit Davidovich R. Bott, Homogeneous vector bundles
March 19: Mio Alter S. K. Donaldson, An application of gauge theory to four-dimensional topology
March 21: Rory Rother R. Bott, The stable homotopy of the classical groups
March 24: Ning Kang J. Milnor, The geometric realization of a semi-simplicial complex
March 26: Daniel Blazevski D. B. Ray, I. M. Singer, Analytic torsion
April 2: Michael Williams N. Hitchin, Stable bundles and integrable systems
April 7: Nestor Guillen M. F. Atiyah, R. Bott, The Yang-Mills equations over Riemann surfaces
April 9: Orit Davidovich G. Segal, The definition of conformal field theory (forward)
April 11: Mio Alter D. Quillen, Rational homotopy theory
April 16: Rory Rother M. Gromov, Pseudo holomorphic curves in symplectic manifolds
April 23: Daniel Blazevski B. Kostant, Quantization and unitary representations
April 25: Ning Kang P. Deligne, D. Mumford, The irreducibility of the space of curves of given genus
April 28: Braxton Collier E. Witten, Quantum field theory and the Jones polynomial

Papers

Here is a list of suggested papers; you are free to choose papers which are not on the list. I in turn feel free to add and subtract papers, so the list may change over time.