Alex Wang

PDL C401
When looking for rational points on varieties, we can often disprove the existence of solutions by checking various positivity or modular arithmetic conditions. However, even if we pass all of these checks, we could still fail to have rational points! In this talk, we'll explore the BrauerManin obstruction as a way to explain the absence of rational points. We'll also discuss my ongoing project to prove the localtoglobal principle of certain special del Pezzo surfaces of degree 2.