An obstruction to lifting schemes to spectral schemes

Prelegent(ci)

Robert Szafarczyk

Afiliacja

University of Copenhagen

Język referatu

angielski

Termin

12 marca 2025 10:15

Pokój

p. 4070

Seminarium

Seminarium „Topologia algebraiczna”

---

There is a relatively simple purly algebraic obstruction, due to Nikolaus, for lifting commutative rings to the sphere spectrum. As an application, it recovers a classical result on non-existence of fully commutative multiplicative structures on Moore spaces, but is applicable to a much broader set of examples such as number rings. We will generalize this obstruction to schemes. As an example, we show that neither the group scheme G_a nor elliptic curves lift to the sphere spectrum.

---