2009, Volume 9, Number 1

This issue of the Moscow Mathematical Journal is dedicated to Pierre Deligne on the occasion of his 65th birthday

	A tribute to Pierre Deligne S. Gusein-Zade, Yu. Ilyashenko, D. Kaledin, A. Kuznetsov, S. Lando, A. Sossinski, M. Tsfasman, V. Vassiliev, A. Vershik		1–2
	Stability conditions, wall-crossing and weighted Gromov–Witten invariants Arend Bayer, Yu. I. Manin		3–32
	Sur la fonctorialité, pour $\mathrm{GL}(4)$, donnée par le carré extérieur Guy Henniart		33–45
	"La descente galoisienne $\dots$" Luc Illusie		47–55
	From Сlausen to Сarlitz: low-dimensional spin groups and identities among character sums Nikolas M. Katz		57–89
	Notes on character sheaves G. Lusztig		91–109
	Rational Tate сlasses J. S. Milne		111–141
	Remarks on generators and dimensions of triangulated categories Dmitri Orlov		143–149
	On the Hodge filtration of Hodge modules Morihiko Saito		151–181
	A minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field J.-P. Serre		183–198