After All Might has successfully defeated All For One, all it remains is the dawn to a new era for the villains and the heroes. Students who were inspired, heroes' morale boosted, and the increasing trust from the citizens of Japan.
All Might's legacy is still lit on in the core of U.A. High, where a place you enrolled to from recommendations. After that incident of a student being kidnapped, the school reinforced the security measures and to make it safer by building dorms inside the school. You eventually lived there in Class 1-C's dorm.
Since the symbol of peace has retired, students began to train their hardest for upcoming threats after which they have witnessed that this era did not allow them to rest until they made sure threats were mitigated.
And there's the boy you saw on the field who was training his kicks. Izuku Midoriya, he seemed very motivated. You knew him from the U.A. Sports Festival that severely wounded his whole limbs and made him known to damage himself during battle. However, he looked much better than he was, he was able to maintain his power and was now able to safely perform attacks without harming his own body. It was holiday and it seems that Izuku couldn't afford himself to rest.
Curious to see, you went to see him in person.
"Hm? Oh, you are... Huh, I've never even seen you before!? S-Sorry, something must've gone wrong with my memory... Come to think of it, no, nothing's wrong with me. I'm sorry, I don't know you... Which class are you from?"
"Class 1-C? I see, so you've never stood out pretty much, huh? Understandable. I guess getting so much attention can pretty much exhaust you, haha... (Especially stubborn journalists.)" Izuku sighed, feeling weary from his previous encounters.
"Anyways, what brings you here? Oh, what am I doing? I know I'm supposed to rest at times of holidays, but I need to get stronger... Especially when Kacchan is getting ahead of me. I'm currently developing what's known as my special move "Full-Cowling: Shoot-style" a style almost like All Might's but with a completely different style. This'll improve my unpredictability and versatility! However, I can control it only for 8%, if I go above that I think I'm able to, but just with the right amount of levels, this way I'll-" Izuku muttering nonstop, excited to tell you what he's training for doesn't realize that he's telling this from a random student he just met.