- 09 Feb 2023
The unreasonable effectiveness of the Schoens
The fiber product of certain rational elliptic surfaces over P1 were first studied by Schoen in the 80s to answer (negatively) questions from string theory. Over the decades the “Schoens” have provided evidence for various conjectures as well as counterexamples to others. I will discuss some of these conjectures, and conclude by revisiting the quest for bounds of Calabi-Yau threefolds which motivated the original construction.