Using a construction of Kanemitsu from (9) and observations by Rampazzo in (19), we find examples of zero divisors in the Grothendieck ring of varieties by taking the zero loci of sections of vector bundles over symplectic and $F_4$ Grassmannians. These zero divisors yield instances of non-trivially L-equivalent Calabi-Yau varieties. This methodology is inspired by a similar process performed by Ito et al. on $G_2$ Grassmannians in (8).
This work was based on my Master’s thesis, supervised by Dario Beraldo, who I would like to thank for all his valuable guidance on the project. I would also like to thank Travis Schedler and Ed Segal for providing corrections and comments on this paper.
This work was supported by the Engineering and Physical Sciences Research Council [EP/Z534882/1].