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Tuesday, February 16, 2021

**Abstract:** Researchers have tried for many years to eliminate the possibility of Landau-Siegel zeros---certain exceptional counterexamples to the Generalized Riemann Hypothesis. Often one thinks of these zeros as being a severe nuisance, but there are many situations in which their existence allows one to prove spectacular, though illusory, results. I will review some of this history and some of these results. In the latter portion of the talk I will discuss recent work, joint with H. M. Bui and Alexandru Zaharescu, in which we show that the existence of Landau-Siegel zeros has implications for the behavior of $L$-functions at the central point.

Tuesday, March 2, 2021

Tuesday, March 16, 2021

Tuesday, March 23, 2021

Tuesday, April 13, 2021

Tuesday, April 20, 2021

Tuesday, April 27, 2021

Tuesday, September 28, 2021