Hey, JoshSco. I'm not familiar with Perel, so I just read up on her. It's hard to tell how credible her work is from a quick skim. That said, trying to figure out why your W sent you these podcasts or her general motivations right now is what you may have heard referred to in this forum as going down a "cheeseless tunnel." Imagine yourself running around like a rat in a maze where there may be no reward to find. It may be that she's trying to take the temperature of your relationship, probably to make sure she's still got you on a short leash. Or, it may be that she's hoping to use Perel's approach as a means to excuse her behavior, reconcile, or who knows what.
As you may guess by now, this wouldn't be something I'd suggest you do, at least for now, if you don't mind. Listen to the podcast if you'd like...or don't. If you do, see what you can take away for yourself to put into practice. What do you hear that helps YOU over the marriage for now? It is just too soon (based on my personal experience and from reading tons of similar situations on this board) to expect some kind of epiphany on her part around reconciliation.
Also, you want to make yourself as much of a mystery to her as possible for now. If she asks what you thought about the podcasts, keep your answers as brief as possible. Perhaps say "I hope to get to that at some point," or "I'm still processing what I heard". The fewer words (and the more they don't promote more conversation for now) the better.
Research Perel if you'd like. See what reviews on her reflect. What are the pros and cons of her approach? If you know any therapists, ask for their opinion or consult one through an employee assistant program you may have at work. My bottom line recommendation is that, if you do it, do it for your self-improvement.
