Combine the wine, sugar, cinnamon stick, cloves, peppercorns, and lemon rind in a medium saucepan. Bring to a boil, stir to dissolve the sugar, and reduce heat to a bubble.
Bring the poaching liquid to a boil and cook on high heat until reduced to a syrupy texture. Add the peaches and poach the fruit, spooning the syrup over them occasionally, until you can pierce the peach easily with a knife, about 5 minutes.
Put the peach halves in 2 dessert bowls. Top with ice cream, whipped cream, and drizzle with the poaching syrup. Grate a little nutmeg over the top.