# $c_1$-cohomological rigidity on Fano generalized Bott manifolds

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Seojeong Park, Jeonju University

*Please note the time change* 10:00AM EST

A smooth Fano variety is a smooth projective variety $X$ whose anti-canonical divisor $−K_X$ is ample. In this talk, we consider the conjecture that two smooth Fano toric varieties are isomorphic if there exists a $c_1$-preserving isomorphism between their integral cohomology rings. I will introduce a partial affirmative result to the conjecture on Fano generalized Bott manifolds.