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Related lectures (31)
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Macdonald identities
Delves into Macdonald identities, covering affine root systems, modular forms, and Lie algebras.
Monster Group: Representation
Explores the Monster group, a sporadic simple group with a unique representation theory.
Canonical Divisors and Modular Forms
Covers canonical divisors on Riemann surfaces and properties of modular forms.
Representation of SL2Z
Delves into the representation of SL2Z and the function F, exploring its transformation properties and relation to modular forms.
Lattices: Properties and Theta Functions
Explores lattices in Rd, Gram matrices, theta functions, and modular properties.
Architectural Realism: Lukács and Grassi
Delves into architectural realism, emphasizing the importance of adapting designs to their surroundings and achieving a harmonious blend of form and function.
E8 Lattice Optimality
Delves into the construction and optimality of the E8 lattice as the densest sphere packing in dimension eight.
Theta functions: Properties and Transformations
Explores the properties and transformations of theta functions, including modular forms and lattice levels.
Homogeneous Hecke Sets: Equidistribution and Minimality
Explores the equidistribution of CM points in homogeneous Hecke sets.
Extremal Lattices
Explores extremal lattices, emphasizing bounds on shortest vectors and unique modular forms.
