25 jun 2026 -- 14:30
Dipartmento di Matematica "Giuseppe Peano", Università di Torino
Abstract.
We consider $\mathbb{Z}_p$ torus actions with a fixed point on closed, positively curved $n$-manifolds. We show that we can lower the approximately $3n/8$ bound obtained by Fang and Rong and by Ghazawneh and still obtain the same homotopy equivalence classification. In particular, and of independent interest, we generalize a geometric embedding result of Wilking's to establish a generalized p-ary Elias-Bassalygo error correcting code bound that allows us to improve the lower bound for $3\leq p\leq 19$. This is joint work with Muhammad Abdullah.