pokemon-x-y
I’m playing PokémonY, but it's been long time since I last played it, and I don’t know where I’m supposed to go! Could I get some help?
Information:
Here is a picture from (what I think is) the official Pokemon X&Y Guide.
Every little thing you do in Lumiose City adds to your style. Stylishness brings all kinds of rewards, such as meeting various characters, getting discounts, and unlocking facilities and fasions.
Good luck fellow trainers :)
Once you've received the roller skates and unlocked the northern half of Lumiose City, you can learn the tricks from roller skaters in the area. Here are their locations:
Trick #1: Backflip - By a tree just outside of the Hotel Richissime on North Boulevard.
Trick #2: Parallel Swizzle - Inside an office building on the western end of South Boulevard.
Trick #3: Running Start - By the monument in Vert Plaza.
Trick #4: 360 - Inside Cafe Rouleu on Estival Avenue.
With all four tricks learned, return to the man in Lost Hotel. He will let you through to see the Boss, who teaches you the game's fifth and final roller skate trick - the Cosmic Flip.
Source here.
Best Answer
Likely this means you need to progress with the Team Flare story arc. Go to Lysandre Cafe in Lumiose City. Inside you can enter Team Flare's base. Will avoid saying more since you may not want more spoilers.
Here's a brief video on catching a cab to get there, since you may have forgotten how to get there if it's been a long time since you last played.