We are meeting on every Friday at 5pm in the department of mathematics. I am maintaing a google group for the participants. Please write to me at rajeshkannan1.m@gmail.com, if you interested in joining the group.

We shall discuss some of the basic properties of nonnegative matrices.

Date | Contents |
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02/02/2018 | A quick overview of positive semidefinite matrices, nonnegative(entrywise) matrices and cones. |

09/02/2018 | A crash course on positive semidefinite matrices - I. |

16/02/2018 | A crash course on positive semidefinite matrices - II. |

From March 8 to March 17, there is a short term course on Topics in Advanced Linear Algebra. We shall continue our seminar after March 17. | |

23/03/2018 | Introduction to nonnegative matrices - I (Perron's theorem, irreducible matrices and Perron-Frobenius theorem). |

06/04/2018 | Introduction to nonnegative matrices - II (Matrix norms and proof of Perron's theorem). |

13/04/2018 | Introduction to nonnegative matrices - III (Irreducible matrices and Perron-Frobenius theorem) |

11/05/2018 | Introduction to nonnegative matrices - IV (Proof of Perron-Frobenius theorem continued.) |

25/05/2018 | Introduction to nonnegative matrices - V (Primitive matrices) |

We shall start the weekly seminar of this semester with a series of talks by Dr Sanand on "Optimization, matrix manifolds and dynamical systems."

Date | Contents |
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02/08/2018 | Matrix eigenvalue methods |

10/08/2018 | Optimization and dynamical systems |

17/08/2018 | Rayleigh quotients on symmetric matrices and gradient flows |

23/08/2018 | Projective, Grassmann spaces and Power method |

From August 27 to August 31, there is a short term course on Grobner basis and
by Prof J. K. Verma from IIT Bombay. We shall meet on 07/09/2018 .its applications | |

07/09/2018 | Projective spaces, power method and Riccati equations |

28/09/2018 | A problem in control involving graphs and matrices |

Date | Contents |
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05/10/2018 | Low rank approximation of matrices. |

We shall start the weekly seminar of this semester with a series of talks on "Adjacency and Laplacian matrices of graphs". I will discuss topics from the (mostly)following books: Graphs and matrices by R. B. Bapat, Spectra of graphs by Andries E. Brouwer and Willem H. Haemers.

Date | Contents |
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18/01/2019 | Properties of adjacency matrices, eigenvalues of adjacency matrices graphs, indecompsability complete graph on 10 vertices in to 3 copies of petersen graph |

25/01/2019 | Spring Fest - no lecture |

01/02/2019 | Spectral properties of bipartite graphs |

08/02/2019 | Mathematics Colloqium talk (Determinant of adjacency matrices of graphs and inverses of trees) Slides |

12/02/2019 | CALDAM talk (Adjacency matrices of complex unit gain graphs) Slides |

15/02/2019 | existance of inverse of a tree, formula for the inverse of a tree |

22/02/2019 | inverses of trees(continued) |

Dr Prateep Chakraborty will deliver a series of lectures on Simplicial complexes.

Date | Contents |
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01/03/2019 | Triangulation of Surfaces, Simplicial Complex, Geometric Realization |

08/03/2019 | Basics of Simplicial complexes |

15/03/2019 | f-vector, Kruskal-Katona theorem |

29/03/2019 | Proof of Kruskal-Katona theorem |

12/04/2019 | Shellable simplicial complex, face ring |

18/04/2019 | Face ring, Hilbert series, Krull dimension, Regular sequence. |

**Mr Arnab Maiti ** will deliver a series of lectures on algorithms for vertex cover problem.

Date | Contents |
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Jan-Feb 2020 | Prateep continued his lectures on Simplicial complexes. |

05/03/2020 | Groups of oriented chains, boundary operators and simplicial homology groups of a topological space. |