New counterexamples to the Zariski Cancellation Problem in positive characteristic

This talk is based on a joint work with Parnashree Ghosh [1].
In this talk, we define a new infinite family of counterexamples to the Zariski Cancellation Problem over a field of positive characteristic (in higher dimensions) and show that they are pairwise non-isomorphic and also non-isomorphic to the existing family of counterexamples, demonstrated by Neena Gupta in [2].

References
[1] P. Ghosh, A. Pal. A new family of counterexamples to the Zariski Cancellation Problem in positive characteristic. Proc. Amer. Math. Soc., to appear, see also arXiv: math. AG/2404.13803 (2024).
[2] N. Gupta. On Zariski's Cancellation Problem in positive characteristic. Adv. Math. 264 (2014), 296–307.