Virtual Commutative Algebra Seminars

This is a weekly (online) seminar series on various topics in commutative algebra. Keeping young researchers in mind, the seminars consist of both research and expository talks. The talks are conducted on Google meet, a video conferencing software by google every friday.

Disclaimer: Due to a recent change in the Google Meet settings by Google, it is required to log in using a Gmail account on the web browser in order to access a Google Meet meeting. We suggest using the Google Chrome browser to access the seminars. While using an iPad, please consider downloading the Google Meet app. 


10 February 2023, 6:30 pm IST (joining time 6:20 pm IST)

Saugata Basu, Purdue University, West Lafayette, IN, USA - Homology of symmetric semi-algebraic sets

Studying the homology groups of semi-algebraic subsets of $\mathbb{R}^n$ and obtaining upper boundson the Betti numbers has been a classical topic in real algebraic geometry beginning with the work of Petrovskii and Oleinik, Thom, and Milnor. In this talk I will consider semi-algebraic subsets of $\mathbb{R}^n$ which are defined by symmetric polynomials and are thus stable under the standard action of the symmetric group $\mathfrak{S}_n$ on $\mathbb{R}^n$. The homology groups (with rational coefficients) of such sets thus acquire extra structure as $\mathfrak{S}_n$-modules leading to possible refinements on the classical bounds. I will also mention some connections with a homological stability conjecture.  

Joint work (separately) with Daniel Perrucci and Cordian Riener.  

17 February 2023, 5:30 pm IST (joining time 5:20 pm IST)

Manuel Blicke, Johannes Gutenberg University Mainz, Rhineland Palatinate, Germany - TBA

TBA

24 February 2023, 5:30 pm IST (joining time 5:20 pm IST)

Luis Duarte, University of Genoa, Genoa, Italy - TBA

TBA

3 March 2023, 6:30 pm IST (joining time 6:20 pm IST)

Vaibhav Pandey, Purdue University, West Lafayette, IN, USA - TBA

TBA

10 March 2023, 6:30 pm IST (joining time 6:20 pm IST)

Cheng Meng, Purdue University, West Lafayette, IN, USA - TBA

TBA

17 March 2023, 6:30 pm IST (joining time 6:20 pm IST)

Christine Berkesh, University of Minnesota, Minneapolis, MN, USA - TBA

TBA

24 March 2023, 6:30 pm IST (joining time 6:20 pm IST)

Takumi Murayama,  Purdue University, West Lafayette, IN, USA - TBA

TBA

7 April 2023, 6:30 pm IST (joining time 6:20 pm IST)

Alexandra Seceleanu,  University of Nebraska-Lincoln, Lincoln, NE, USA - TBA

TBA