Description
Various swampland conjectures predict the existence of light particles and strings in infinite-distance limits of moduli space. In this talk, we will see that these swampland conjectures are intimately linked with the cone conjectures of Morrison in the context of M-theory compactifications on Calabi-Yau threefolds. In the process, we will clarify the subtle geometric distinction between asymptotic boundaries, which feature genuine infinite-distance limits, and periodic boundaries, which involve infinite-length geodesics that traverse the fundamental domain of moduli space an infinite number of times.
