Assaf Libman The gluing problem in the fusion systems of the symmetric and alternating groups Abstract. A solution to Linckelmann's gluing problem in all fusion systems of blocks yields and alternative formulation of Alperin's weight conjecture. Using Bredon equivariant cohomology techniques we solve the gluing problem in fusion systems that are isomorphic to the fusion systems of the symmetric groups or, for odd primes, the alternating groups.