Abstract: A Yamabe-type problem addresses the inquiry into the existence of metrics within a specified conformal class, characterized by a constant higher-order, possibly fractional, Q-curvature. I will present some results on the multiplicity of complete solutions for Yamabe-type problems on noncompact manifolds, obtained using algebraic and topological techniques.

Bio-Sketch: Paolo Piccione is currently a professor at the Universidade de São Paulo, Brazil. He graduated from Università La Sapienza (Rome, Italy), and obtained his Ph.D. in Mathematics at the Pennsylvania State University. He has been the president of the Brazilian Mathematical Society for three terms, and a member of the Brazilian Academy of Sciences since 2012. He is currently a member of the International Mathematical Union Executive Committee (second term 2023-2026).