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Explore the fascinating world of conical intersections in two-dimensional periodic lattices through this 40-minute lecture. Delve into the concept of pseudospin and its role in mimicking relativistic spinor particle dynamics. Examine the progression from pseudospin-1/2 Dirac cones in graphene to pseudospin-1 conical intersections in photonic waveguide arrays and exciton-polaritons. Discover the novel "chiral borophene" photonic lattice featuring a pseudospin-2 conical intersection and its unique properties, including partially flat bands and high charge vortex generation. Gain insights into the coupling between pseudospin and orbital angular momentum degrees of freedom in these innovative lattice structures.