Here's a starting point check list for a one day climb, add or subtract as you like (remember - no cotton):
Backpack
Hiking poles
Ice axe
Crampons
Jacket - shell or insulated
Base layer
Insulating layer
Boots
Wool/synthetic socks
Fleece/wool gloves
Wind/waterproof gloves
Warm hat
Sun glasses
Sunscreen and lip balm
Headlamp
trail food/snacks
Water pump or purification tablets
2 or 3 one-quart water bottles or bladder
Toilet paper/waste bags
First aid (moleskin)
Optional Equipment
Hiking shorts, t-shirt, Gaiters, knife, hiking/climbing pants, balaclava/neck gaiter, camera, and ball cap.