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The Gysin map, or the wrong-way map, is a classical construction that has been available for various cohomology theories and in 𝐀¹-homotopy theory. In this talk, I will give a construction of it based on 𝐏¹-homotopy theory, so that it specializes to the Gysin map for all known or unknown cohomology theories with��𝐏¹-homotopy invariance, including étale, Hodge, crystalline, prismatic, etc. I will also survey applications of my Gysin map to more concrete subjects, including very recent works by��Annala–Hoyois–Iwasa and Carmeli–Feng.