It didn't surprise him in the slightest that she knew who he was. If anything it would have surprised him if she didn't. It was something Loki was growing accustomed to. Thankfully, Lethe didn't recoil at his name, which was always a sure sign that someone viewed him as a lying, thieving, murderer. Which was only partly true in each instance.
But there was no need to argue such points with those who had already made up their minds on him. In fact, he rarely even talked about them unless very distinct questions were posed in the proper ways. Right now, she was extending a hand and it was polite for him to return the gesture. So he did.
"I'm not sure if I would call it famous. Infamous is probably more like it," he said, smirking wildly. There was no harm in employing charms now, since she already knew who he was. Lethe, if she knew what most of the books did, would expect a certain degree of flirtation out of him. How much he decided to engage would depend on how the conversation went. He had to be careful, there were goddesses out there like that bitch Amaterasu, who had no sense of humor and carried handbags that felt like they had bricks in them.
As soon as their hands parted, his went for his newly refilled glass of Jameson and brought it to his lips. "Not sure what brought me here, to be honest." He drank, bright blue eyes not leaving her for a moment other than to blink, and set the glass back down.
"There's always the chance of meeting an old friend in places such as these. Or in some cases making a new one."
Loki thought for a moment on her name. It sounded familiar but he couldn't place it. Greek, certainly, but beyond that he was at a loss. Was it a name he should have known. The trouble with the Greeks was that there were so blasted many of them that it was hard to tell up from down with them any longer. "Lethe," he repeated her name back to her after a few moments' pause. "You're Greek, then." It was a prompt, hoping that she'd divluge a bit more than just her name.